Unit 5 Pre-Test Review

Multiple Choice

1. Yara spent x dollars at the candy store. If Joe spent 9 times the amount Yara spent at the video store, how much did they spend together, in dollars?

• $$9x$$

• $$3$$

• $$10x$$

• $$9x^2$$

Question 1

Key Points

If Yara spent x, then that means Joe spent 9x, because the question said that he spent 9 times as much as Yara. So they spent 10x together because 1x + 9x = 10x

Multiple Select

2. Which statements are true about the expression $$-2+5\left|3-x^2\right|+37$$ Select all that apply.

• When x=-10, the value is 520.

• When x=-6, the value is 200.

• When x=-3, the value is -65.

• When x=1, the value is 54.

• When x=7, the value is 265.

Open Ended

3. In the expression, m is a real number, and k and w are integers.

$$m^k\ \circ\ m^w$$

Use the properties of integer exponents to rewrite $$m^k\ \circ\ m^w$$ as an exponential expression with a single base and exponent.

Question 3

Key Points

Multiple Choice

4. One box of markers costs $5.99, and one box of highlighters costs $3.79. A teacher purchased m boxes of markers and h boxes of highlighters for his class. What does the expression 5.99m + 3.79h represent?

• The cost for one box of markers and plus the cost for one box of highlighters.

• The total cost, in dollars, for the teacher’s purchase.

• The number of boxes of markers and the number of boxes of highlighters that can be purchased for $9.78.

• The total number of boxes of markers and boxes of highlighters that the teacher purchased.

Question 4

Key Points

Its never said how many boxes were purchased.

Multiple Choice

5. Simplify the expression. $$\frac{10x^4y^4}{5x^{-4}y^{-4}}$$

• $$2$$

• $$15x^9y^9$$

• $$2x^8y^8$$

• $$2xy$$

Question 5

Key Points

Multiple Choice

6. What is the simplified form of the expression $$\frac{\left(3x\right)^2\left(3^{-4}\right)}{3^{-2x}}$$ ?

• $$3^{\left(4x-4\right)}$$

• $$3^{6x}$$

• $$3^{2x}$$

• $$3^{8x}$$

Question 6

Key Points

Question 6 (continued)

Key Points

Multiple Select

7. Five students need to write radical expressions in simplest form. The table shows the original expression and the expression in simplest form written by each student. Which students wrote a correct expression in simplest form? Select all that apply.

• Student A

• Student B

• Student C

• Student D

• Student E

Dropdown

8. Write a value to each blank box from the given to show $$\sqrt[3]{-96}$$ in simplest form.​ ​ -12​ ​ ​ -6​ ​

Select answer

​

Select answer

Multiple Choice

9. Simplify the expression completely.

• $$11\ \sqrt[]{7}-\sqrt[]{70}$$

• $$\sqrt[]{77}-\sqrt[]{70}$$

Multiple Choice

Simplify $$\left(y^3x^{\frac{1}{2}}\right)\left(y\ x^{\frac{1}{2}}\right)$$

• $$\left(y^4x^{\frac{1}{4}}\right)$$

• $$\left(y^3x^{\frac{1}{2}}\right)$$

• $$y^3x$$

• $$y^4x$$