Finals Review

Multiple Choice

Evaluate bc + 5a  
when  a = 3, b = 4, and c = -6

• 9
• 38
• -38
• -9

Multiple Choice

8y + 12 - 2z
for y = 4 and z = 2

• 40
• 20
• 84
• 34

Multiple Choice

Evaluate the expression below for x=8.

$$4x-6$$  

• 36

• 26

• 42

• 59

Solve an equation with parentheses

To solve an equation with parentheses, use the distributive property to expand the parentheses, then combine like terms and isolate the variable on one side of the equation by performing inverse operations on both sides

Multiple Choice

Simplify: 3(x + 4)

• 3x + 7

• 7x

• 3x + 12

• 15x

Multiple Choice

Did Sarah make an error? If so, which is the best description of her error?

• She didn't distribute correctly. The second step should read 3x - 12 = 24

• She didn't subtract correctly. The third step should read -3x = 12

• She didn't distribute correctly. The second step should read -3x + 12 = 24

• She didn't make an error.

Multiple Choice

Solve:
2(4x - 3) - 8 = 4 + 2x

• x = 5/3
• x = 3
• x = 1
• x = 2

Multiple Choice

Solve the following equation for x:
4(2x - 3) = 6x + 2

• x = 5/2
• x = 7
• x = 1
• no solution

Multiple Choice

Solve for x:

6(2x + 1) = 18

• 3

• 17/12

• 1

• 2

Multiple Choice

$$\left(x+2\right)\left(x+7\right)$$  

• $$x^{ }+9x+9$$  

• $$x^2+9x+14$$  

• $$x^2+9x+7$$  

• $$2x+9x+14$$  

Multiple Choice

Solve for x:
2(3x + 4) + 2 = 4 + 3x

• 2
• -2/3
• 10
• -2

Multiple Choice

$$\left(m-5\right)\left(m-2\right)$$  

• $$m^2-7m+10$$  

• $$m^2-7m-10$$  

• $$m^2+7m+10$$  

• $$m^2+7m-10$$  

Multiple Choice

$$d-7=-18$$  

•  -11

• -25

• 11

• 25

Fill in the Blank

Solve for the unknown variable:

$$\frac{x}{6}=8$$  

Multiple Choice

What is the step needed to be taken to solve this equation?

$$\frac{x}{5}=-2$$  

• divide by 5 on the left side of equal sign

• divide by 5 on both sides of equal sign

• multiply by 5 on right side of equal sign

• multiply by 5 on both sides of equal sign

Multiple Choice

Solve for x:

• x = 20
• x = 7
• x = 10
• x = 3

Multiple Choice

The bill for the repair of a computer was $179. The cost of parts was $44, and labor charge was $45 per hour. How many hours did it take to repair the computer?
What is the correct equation to solve?

• 44h + 45 = 175
• 44 + 45h = 175
• 44 + 175 = 45h
• 44 + 45 = 175h

Multiple Choice

Renting boats on a lake costs $22 per hour plus a flat fee of $10 for insurance. If you paid $98 to rent the boat, how many hours did you rent the boat?
What is the correct equation to solve?

• 22 + 10h = 98
• 22 + 10 = 98h
• 98 + 10 = 22h
• 22h + 10 = 98

Multiple Choice

Raymond buys bottles of water at $2 each and a large pizza at $13. The total cost was $21. How many bottles of water did Raymond buy?
What is the correct equation to solve?

• 2b + 13 = 21
• 2 + 13b = 21
• 2 + 13 = 21b
• 2b +21 = 13

​Law of Exponents

Multiple Choice

Simplify.

(-7x³y²)²

• 49x⁶y⁴

• -14x⁶y⁴

• -14x⁵y⁴

• -49x⁶y⁴

Multiple Choice

(r⁴)⁶

• 10r
• r¹⁰
• 24r
• r²⁴

Multiple Choice

Simplify:
(2x³y)⁶

• 2x¹⁸y⁶
• 64x¹⁸y⁶
• 64x³y⁶
• 2x³y⁶

Multiple Choice

Simplify:
(2x³y)⁶

• 2x¹⁸y⁶
• 64x¹⁸y⁶
• 64x³y⁶
• 2x³y⁶

​Equation of line

​To change an equation from standard form to slope-intercept form, you can solve the equation for 𝑦 so that it's isolated on one side of the equation:

1. Subtract 𝐴𝑥 from both sides

2. Divide each term by 𝐵

    

Multiple Choice

Convert the standard form equation into slope-intercept form.
4x - 3y = 15

• y = (4/3)x - 5
• y = ⅔x - 5
• x = ¾
• y = 27, 239, 430

Multiple Choice

• y=2x+4

• y=-2x-4

• y=2x-2

• y=2x-4

Multiple Choice

When converting the equation

2x + 4y = 8

into slope-intercept form, the first step to solve for y would be to ____________.

• subtract 2x from each side

• subtract 4y from each side

• add 2x to each side

• add 4y to each side

Multiple Choice

What is the cube root of 2744?

• 10

• 12

• 14

• 16

• There is not a rational cube root for 2744.

Multiple Choice

∛729

• 9
• 8
• 7
• 10

Fill in the Blank

$$\sqrt[3]{512}$$

Fill in the Blank

5³