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20
Solve: |-4x + -2| = 1
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Solve: |8x + -14| ≤ 4
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
2 ≤ x ≤ 2
If each item costs 2 dollars and the total cost is 54, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
27
If each item costs 14 dollars and the total cost is -56, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-4
If each item costs 19 dollars and the total cost is 323, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
17
What is 58% of 450?
Compute the percent value (integer-safe).
Compute 58/100 × 450.
261
Simplify: -5x + 7x + 6y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
2x + 6y
If each item costs 12 dollars and the total cost is 0, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
0
Solve: |-6x + -12| ≤ 13
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-4 ≤ x ≤ 0
What is -44% of 0?
Compute the percent value (integer-safe).
Compute -44/100 × 0.
0
Solve: |7x + -10| ≤ 4
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
1 ≤ x ≤ 2
Solve for x: 4x + 4 = -40
Solve the linear equation.
Subtract b from both sides, then divide by a.
-11
If each item costs -2 dollars and the total cost is -24, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
12
If each item costs 19 dollars and the total cost is -228, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-12
What is -13% of 200?
Compute the percent value (integer-safe).
Compute -13/100 × 200.
-26
If each item costs 15 dollars and the total cost is 390, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
26
What is -46% of 350?
Compute the percent value (integer-safe).
Compute -46/100 × 350.
-161
Solve for x: -4x + 13 = -31
Solve the linear equation.
Subtract b from both sides, then divide by a.
11
Solve for x: -8(x + -13) = 120
Solve a two-step equation.
Divide both sides by a, then subtract b.
-2
Solve for x: 4(x + -8) = 16
Solve a two-step equation.
Divide both sides by a, then subtract b.
12
What is -23% of 400?
Compute the percent value (integer-safe).
Compute -23/100 × 400.
-92
Simplify: 5x + -8x + 7y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-3x + 7y
Solve: 10x + -7 < 173
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 18
Solve for x: -8(x + -10) = -24
Solve a two-step equation.
Divide both sides by a, then subtract b.
13
Simplify: 6x + 4x + -3y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
10x - 3y
Solve for x: 7x + -9 = -44
Solve the linear equation.
Subtract b from both sides, then divide by a.
-5
Solve: |-3x + 2| = 2
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
0
Solve for x: 9x + -16 = -79
Solve the linear equation.
Subtract b from both sides, then divide by a.
-7
Solve for x: 6(x + 13) = 162
Solve a two-step equation.
Divide both sides by a, then subtract b.
14
Solve: -7x + -2 ≥ -142
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 20
Solve: |5x + 3| = 3
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
0
What is -7% of 700?
Compute the percent value (integer-safe).
Compute -7/100 × 700.
-49
What is 34% of 200?
Compute the percent value (integer-safe).
Compute 34/100 × 200.
68
Solve for x: -12x + 18 = -138
Solve the linear equation.
Subtract b from both sides, then divide by a.
13
What is 57% of 100?
Compute the percent value (integer-safe).
Compute 57/100 × 100.
57
If each item costs 8 dollars and the total cost is -16, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-2
What is 46% of 350?
Compute the percent value (integer-safe).
Compute 46/100 × 350.
161
What is -44% of 250?
Compute the percent value (integer-safe).
Compute -44/100 × 250.
-110
Solve for x: -4x + 17 = 61
Solve the linear equation.
Subtract b from both sides, then divide by a.
-11
Solve for x: -2(x + 8) = -24
Solve a two-step equation.
Divide both sides by a, then subtract b.
4
Solve: |8x + 6| ≤ 5
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-1 ≤ x ≤ -1
Solve for x: -7x + 16 = -47
Solve the linear equation.
Subtract b from both sides, then divide by a.
9
Solve: |-8x + 7| = 18
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Solve for x: 3x + -24 = -72
Solve the linear equation.
Subtract b from both sides, then divide by a.
-16
Solve: 6x + 7 < 19
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 2
Solve: |2x + -14| ≤ 7
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
4 ≤ x ≤ 10
If each item costs 10 dollars and the total cost is -150, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-15
What is 82% of 250?
Compute the percent value (integer-safe).
Compute 82/100 × 250.
205
If each item costs 7 dollars and the total cost is -7, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-1
Solve: |-6x + -14| = 11
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Solve: |6x + -8| = 9
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Solve: 4x + -9 ≤ -9
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 0
Simplify: -1x + 1x + -1y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-1y
Simplify: -8x + -1x + 1y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-9x + 1y
Solve for x: 3x + 3 = -54
Solve the linear equation.
Subtract b from both sides, then divide by a.
-19
Solve for x: -7x + 17 = 108
Solve the linear equation.
Subtract b from both sides, then divide by a.
-13
Simplify: 4x + -7x + 4y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-3x + 4y
Simplify: -4x + 0x + 7y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-4x + 7y
If each item costs 7 dollars and the total cost is 210, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
30
Simplify: 5x + 0x + 1y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
5x + 1y
If each item costs 4 dollars and the total cost is 16, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
4
Simplify: 0x + -1x + 1y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-1x + 1y
Solve for x: 8(x + 11) = 120
Solve a two-step equation.
Divide both sides by a, then subtract b.
4
Solve: |-7x + 7| = 16
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Solve for x: -1x + -17 = -26
Solve the linear equation.
Subtract b from both sides, then divide by a.
9
Solve: |-8x + -8| = 17
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
What is 29% of 600?
Compute the percent value (integer-safe).
Compute 29/100 × 600.
174
Solve: |-4x + 8| = 12
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
-1, 5
What is 30% of 30?
Compute the percent value (integer-safe).
Compute 30/100 × 30.
9
Solve for x: 6x + -1 = -61
Solve the linear equation.
Subtract b from both sides, then divide by a.
-10
If each item costs -4 dollars and the total cost is 60, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-15
Solve for x: 3(x + -14) = -36
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
Solve for x: 2(x + 12) = 26
Solve a two-step equation.
Divide both sides by a, then subtract b.
1
Solve for x: -8(x + 6) = -72
Solve a two-step equation.
Divide both sides by a, then subtract b.
3
Solve: |6x + 0| = 10
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Simplify: -5x + 4x + -1y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-1x - 1y
Solve for x: 8x + 4 = 92
Solve the linear equation.
Subtract b from both sides, then divide by a.
11
If each item costs -1 dollars and the total cost is -4, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
4
Solve for x: 8(x + -11) = -128
Solve a two-step equation.
Divide both sides by a, then subtract b.
-5
Solve: -2x + 6 > -2
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 4
Solve for x: 5x + 16 = 16
Solve the linear equation.
Subtract b from both sides, then divide by a.
0
Solve: 8x + 4 < -84
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -11
Solve: -10x + 17 < 87
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -7
Solve: -7x + 14 ≥ 0
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 2
If each item costs -5 dollars and the total cost is -95, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
19
Solve: |-4x + 0| ≤ 15
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-3 ≤ x ≤ 3
If each item costs 1 dollars and the total cost is -16, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-16
Solve: |-7x + 19| ≤ 13
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
1 ≤ x ≤ 4
Solve for x: 4(x + 3) = 56
Solve a two-step equation.
Divide both sides by a, then subtract b.
11
Solve: |1x + 19| ≤ 8
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-27 ≤ x ≤ -11
Solve for x: -3(x + 7) = -21
Solve a two-step equation.
Divide both sides by a, then subtract b.
0
Simplify: 1x + -6x + -5y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-5x - 5y
Simplify: 4x + 6x + 4y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
10x + 4y
Simplify: -5x + -4x + 4y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-9x + 4y
If each item costs -6 dollars and the total cost is -162, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
27
Solve for x: 3(x + 0) = -45
Solve a two-step equation.
Divide both sides by a, then subtract b.
-15
Solve for x: -2(x + -13) = 56
Solve a two-step equation.
Divide both sides by a, then subtract b.
-15
If each item costs 20 dollars and the total cost is 340, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
17
Simplify: -8x + 4x + 5y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-4x + 5y
What is 49% of 400?
Compute the percent value (integer-safe).
Compute 49/100 × 400.
196