Linear Equations and Inequalities Test 1A

12 - 4x < 32

• x < 5

• x > 5

• x < -5

• x > -5

Write an inequality:

8 more than 3 times a number is at least 12

• 3x + 8 ≤ 12

• 3x + 8 ≥ 12

• 8 + 3x ≤ 12

• 8 > 3x + 12

Solve:

6(x - 3) = 12

• 2.5

• 5

• 1

• -5

-4(x + 8) = -4(10 + x)

• No Solution

• One Solution

• Infinite Solution

Which of the following is a solution to this inequality?

9x + 3 < 18 - 9x

• 0

• 1

• 2

• 3

What is the first step in solving the following equation?

4x + 9 = 33

• multiply both sides by 9

• add 9 to both sides

• divide both sides by 9

• subtract both sides by 9

Find the Error
What error did the student make when solving the equation:
5x - 10 = 35
- 10 = - 10
5x = 25
5x/5= 25/5
x = 5

• The student subtracted 10 from both sides instead of adding

• Student divided by 5 instead of multiplying by 5

• Student got the wrong answer when subtracting 35 - 10

• The student did not correctly eliminate the variable from one side of the equation

Solve the equation

12x - 18 = 2(2x - 7)

• x = 2

• x = -2

• x = 0.5

• x = -0.5

A 10 inch candle and a 16 inch candle are lit at 6pm. The 10 inch candle burns 1.5 inches every hour. The 16 inch candle burns 1 inch every hour. At what time will the two candles be the same height? Write an equation.

• 10 - 1.5x = 16 - x

• 10 + 1.5x = 16 + x

• 10x - 1.5 = 16x - 1

• 10 + 1.5x = 16 + 2x

Solve:

-3(2x + 4) = 4(x + 2)

• x = 0.4

• x = 2

• x = -2

• x = - 0.4