Multi-Step Equations Again??

​Topic 3-5 (Multi-Step Equations)

School Year 2022-2023

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Let's Start with some "easy" review questions...​

Fill in the Blanks

1.) Isolate the variable and solve:

$-6w+1=-11$  

Fill in the Blanks

2.) Isolate the variable and solve:

$-6+\frac{x}{4}=-5$  

Multiple Choice

3.) Change from standard form to scientific notation: 12,000,000

• 12.0  x  10⁷
• 0.12  x  10⁷
• 1.2  x  10⁶
• 1.2  x  10⁷

Multiple Choice

4.) Give the sum in scientific notation.

(2.6 x 10⁶) + (4.2 x 10⁶)

• 6.8 x 10⁶

• 6.8 x 10¹²

• 8.4 x 10⁶

• 3.2 x 10¹²

Multiple Select

Select ALL of the irrational numbers.

• $$3\pi$$  

• $$0.\overline{62}$$  

• $$-\frac{3}{4}$$  

• $$0.273921...$$  

• $$\sqrt[]{18}$$  

Fill in the Blanks

5.) Isolate the variable and solve:

15 − 2x = −7x

Fill in the Blanks

6.) Isolate the variable and solve:

2(4x − 3) − 8 = 4 + 2x

Fill in the Blanks

7.) Isolate the variable and solve:

−3(4x + 3) + 4(6x + 1) = 43

Multiple Choice

8.) Isolate the variable and solve:

$$\frac{3}{2}\left(2\ -\ 6x\right)+\ 1\ =\ 3\ -\ 5x$$  

• x = 1/4

• x = 3

• x = -4

• x = -3/2

Fill in the Blanks

9.) Isolate the variable and solve:

−5(1 − 5x) + 5(−8x − 2) = −4x − 8x

Fill in the Blanks

10.) A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve an equation to find the number of hours of labor spent repairing the car.