Quiz about Expressions Review (Mastery Questions)

Question 1

Mrs. Crosland asked students to factor the expression $$28x−8$$ .

The students offered the answers shown in the box.

Which student(s) offered answer(s) equivalent to the original expression?

Accepted Answer

both Carlos and Irene

Answer

only Danny

Answer

only Irene

Answer

both Carlos and Danny

Question 2

Which expression is equivalent to $$−3(5x−2)$$ ?

Accepted Answer

$$−15x+6$$

Answer

$$−2x−5$$

Answer

$$−2x+2$$

Answer

$$−15x−6$$

Question 3

Simplify the expression below.
$$26n−7m+4(10n−6m)$$

Accepted Answer

$$66n−31m$$

Answer

$$36n−13m$$

Answer

$$40n−9m$$

Answer

$$35mn$$

Question 4

Which choice is equivalent to the expression shown?

$$3\left(x-6\right)+4x+18$$

Accepted Answer

$$7x$$

Answer

$$7x+12$$

Answer

$$5x$$

Answer

$$5x+12$$

Question 5

Which choice is equivalent to the expression shown?

$$-5\left(2r-6s\right)+3\left(4s-3r\right)$$

Accepted Answer

$$−19r+42s$$

Answer

$$2r+21s$$

Answer

$$−13r+6s$$

Answer

$$−19r−18s$$

Question 6

Which is an equivalent expression for $$18c+144$$ ?

Accepted Answer

$$18(c+8)$$

Answer

$$12(c+12)$$

Answer

$$12c+12$$

Answer

$$18c+8$$

Question 7

The table shows two expressions representing the length and width of a rectangle.

Which expression represents the perimeter of the rectangle?

***Hint -- draw a picture and label it.***

Accepted Answer

$$6y+20$$

Answer

$$6y+10$$

Answer

$$3y+10$$

Answer

$$3y+20$$

Question 8

Abbey ran $$3x+4$$ miles last week. She ran $$2x-4$$ miles this week.

How many miles did Abbey run over the two weeks?

Accepted Answer

$$5x\ miles$$

Answer

$$x\ miles$$

Answer

$$5x+8\ miles$$

Answer

$$x+8\ miles$$

Question 9

Consider the expression.

$$\frac{1}{2}(54x−36)$$

Which expression is equivalent?

Accepted Answer

$$27x−18$$

Answer

$$27x−36$$

Answer

$$54x−36$$

Answer

$$54x−18$$

Question 10

Which expression is equivalent to $$3a+33$$ ?

Accepted Answer

$$7a+27−4a+6$$

Answer

$$3(a+33)$$

Answer

$$3(3a+11)$$

Answer

$$5a+29−2a+3$$

Question 11

Which expression is equivalent to $$−2(4x−5)$$ ?

Accepted Answer

$$−8x+10$$

Answer

$$-8x-10$$

Answer

$$8x+10$$

Answer

$$−8x−5$$

Question 12

Turn the verbal expression into a written expression.

$$A\ number\ b\ plus\ 17$$

Accepted Answer

$$b+17$$

Answer

$$b-17$$

Answer

$$17b$$

Answer

$$17$$

Question 13

What is "8 more than a number k" written as an algebraic expression?

Accepted Answer

$$k+8$$

Answer

$$8-k$$

Answer

$$8+k$$

Answer

$$k-8$$

Question 14

Write the following phrase as an algebraic expression.

$$six\ less\ than\ the\ product\ of\ negative\ four\ and\ a\ number,\ x$$

Accepted Answer

$$-4x-6$$

Answer

$$6-4x$$

Answer

$$6-(-4x)$$

Answer

$$4x-6$$

Question 15

Simplify the expression.

$$(6x+4)−(3x−2)$$

Accepted Answer

$$3x+6$$

Answer

$$3x+2$$

Answer

$$3x−2$$

Answer

$$3x−6$$

Question 16

Subtract $$\left(4x+4\right)$$ from $$\left(2x-3\right)$$ .

Accepted Answer

$$-2x-7$$

Answer

$$2x+7$$

Answer

$$-2x+1$$

Answer

$$2x-7$$

Question 17

Which two expressions show the area of the rectangle shown?

Accepted Answer

$$7\left(3x+5\right)$$

Accepted Answer

$$21x+35$$

Answer

$$21x+5$$

Answer

$$7+\left(3x+5\right)+7+\left(3x+5\right)$$

Answer

$$7+\left(3x+5\right)$$

Question 18

Which expression could be used to find 75% of 80?

Accepted Answer

$$0.75\left(80\right)$$

Answer

$$75\left(80\right)$$

Answer

$$7.5\left(80\right)$$

Answer

$$\frac{80}{0.75}$$

Expressions Review (Mastery Questions)

20 questions

Match each expression to its equivalent.

The table shows two expressions representing the length and width of a rectangle.
Which expression represents the perimeter of the rectangle?
Hint -- draw a picture and label it.

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