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Solving Absolute Value Equations
Solving Absolute Value Equations, 2
Solve 2 Step Equations
Miscellaneous
100

How many solutions does the following equation have: |5x + 11| = -2

What is none. 

100

Solve the equation |x + 3| = 5.

x = 2 and x = -8.

100
Solve the equation |1 - 2/3x| = 9.
What is x = -12 and x = 15.
100

2(x-2) + 2 = 14

What is 8
100

What is absolute value?

The distance of a number from zero.

200

How many solutions does the following equation have: |2.3 - 5.7x| = 0

What is 1

200

Solve the equation |2x + 6| = 14.

x = 4 and x = -10.

200
Solve the equation |x - 2| + 6 = 0.
What is you cannot solve, therefore no solution.
200

3(2x - 7) - (x +2) = 2

What is 5

200

What subsets of real numbers does -1.25 belong?

What is integer, rational and real

300

Rewrite the absolute value equation as two linear equations: 2|x - 1/2|- 7 = 9.

x - 1/2 = 8 and x - 1/2 = -8.

300

Solve the equation |1/2x - 4| = 1.

x = 10 and x = 6.

300

Solve the equation |x + 3| - 1 = 0.

What is x = -2 and x = -4.

300

3(x-5) + 2(x-3) = 5x - 20

No solution

300

10 × 4 - 2 × (4² ÷ 4) ÷ 2 ÷ 1/2 + 9

What is 41

400

Given three consecutive even numbers whose sum is 1092. Find the smallest number

What is 362

400

Solve the equation |4 - 5x| = -6.

No solution. Absolute value equations cannot equal a negative number, because it represents a distance and distance is always positive.

400

Solve the equation |3x - 2| = x.

What is x = 1 and x = 0.5.

400

1/2(x+3) + (1/2x - 1) = 1/2(x+1) + 1/2x

What is all real numbers

400

Katarina is a botanist studying the production of two types of pear trees. She noticed that Type A trees produced 20% more pears than Type B trees did. If Type A trees produced 144 pears, how many pears did Type B trees produce?

What is 120

500

Given four consecutive odd numbers whose sum is 456. What is the sum of the two middle numbers?

What is 228

500

Solve the equation |3x - 6| - 9 = -3.

x = 0 and x = 4.

500

-3|x - 6|- 12 = 3.

no solution

500

2(x-12) + 3(x - 7) - (x +2) = 2(x-5) +3

what is x = 20

500

30 percent of 350 is 50 percent of what number?

What is 210

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