Unit 2 Questions Bank (6)

no

Are the two expressions equivalent? Yes or no a + (b +c) = (a ٠ b) + c

64

Evaluate 4^3.

the product of 19 and the number j

Translate from an algebraic expression to words. 19j

2x + 4y

Which expression is equivalent to x + x + 4y?

k=152

−59 + k = 93

x=2

9x=18

9

Fill in the blank to make the expressions equivalent using the commutative property. 9 + u + 6 = 6 + _____ + u

base, exponent

For the expression 6^4, The 6 is the _____________ and the 4 is the ___________.

3

How many terms are present in the expression (2 + 5 + 8)?

1.5 lbs

Keegan had 3.25 pounds of flour. After making bread, he had 1.75 pounds of flour left over. How many pounds of flour did he use?

B) 4 x (15 - 6)

Lauren evaluated an expression by subtracting 6 from 15 and then multiplying the result by 4. Which of the following could be the expression that Lauren evaluated? A) (4 x 6) - 15 B) 4 x (15 - 6) C) 4 x (6 - 15) D) (15 - 4 ) x 6

D) 33 -25 + 2

Mason had 33 pennies in his pocket. He spent 25 of the pennies. Then he found 2 pennies and put them into his pocket. Which shows the number of pennies in Mason's pocket? A) 33 + 25 + 2 B) 33 + 25 - 2 C) 33 - 25 - 2 D) 33 -25 + 2

$907.10

Mrs. Grover earns $18.80 per hour for the first 40 hours she works in a week. She earns 112times that amount per hour for each hour beyond 40 hours in a week. Last week Mrs. Grover worked 45.5 hours. How much money did she earn?

C) Dante can be standing on either 6 or -6.

Mrs. Leonardo painted a number line on the ground and labeled it with integers. She asked Karen to stand at 0 and asked Dante to stand 6 units away. Which of the following is true? A) Dante can be standing only on -6. B) Dante can be standing only on 6. C) Dante can be standing on either 6 or -6. D) Dante can be standing on 6,-6, -12, or 12.

p + 3

Translate from words to an algebraic expression. Three more than the number p.

12

What is the coefficient of z in the expression?4x + 8y + 12z

x > -3

What is the graph for the following inequality?

C) 4 (2 + 3x)

Which of the following answer choices is equivalent to this expression? 8 + 12x A)4 (x + 3x) B) 4 (3 + 3x) C) 4 (2 + 3x) D) 3 (5 + 9x)

add, sum, more than, greater than, increased

Which of the following are words that mean addition?

Commutative Property

Which property explains why these two expressions are equal?-5 + (x + 4) = -5 + (4 + x)

Distributive Property

Which property is being modeled below? 2(a + 6) = 2a + 12

Commutative Property

Which property is being modeled below? r ٠ t ٠ p = p ٠ r ٠ t

y = 3x

Write an equation where x is three times as large as y and graph the relationship between the two variables on the coordinate plane.

48

Which value of b makes the equation b/4 = 12 true?

x=6

24/x = 4

x=9

6 + x = 15

9f=36

Dakota had 36 pieces of candy. She pieces of candy to each of her friends.What equation can be used to find how many friends, f, received candy from Dakota?

-94

Evaluate 6 − (4 ÷ 2 × 5)^2?

93.5

Evaluate 82 ÷ 4 × (2 + 3) − 9

4

Fill in the blank to make the expressions equivalent using the distributive property. 4r + 4 = ______ ( r + 1 )

16

Identify the constant term in this expression.−14x + 16 + 6x + 2y

x = -8

If you solve the inequality 2x < 14, the solution set is x < 7. Graph x < 7 on a number line. Which one of the listed values of x is included in x < 7?

5𝑥 − 10

Simplify the expression so it has the fewest number of terms. 15 − 5(𝑥 + 3) + 10𝑥 − 10

x ≤ -2

Solve 3x ≤ -6.

d = 12h

Sophia is paid $12 per hour to babysit.Which equation represents how much money Sophia earns, d, when she babysits for h hours?

c=2+h

The cost of renting a bicycle from Dan's bike shop is $2 for 1 hour plus $1 for each additional hour of rental time. Which equation best represents the cost (c) of renting a bike at Dan's bike shop for any number of hours (h)?

Anna and Sara

The inequality h ≥ 48 represents the minimum height h necessary to ride a certain roller coaster. Who can ride the roller coaster? Heights (in.) Miguel 42 Patrick 45 Anna 48 Sara 52

9p + 2pq - 7p + 5p - 2pq

Which expression, when simplified, is equal to 7p?

No, Evelyn's expression is not equivalent to the original problem. The expression (𝑥 − 3𝑦) is being subtracted, however, Evelyn only subtracted the first term, 𝑥¸and did not distribute the subtraction to the second term, −3𝑦, which would make it +3𝑦. (Or equivalent explanation)

An expression is subtracted from a term, as shown below. 4𝑥 − (𝑥 − 3𝑦) Evelyn re-writes the problem as 4𝑥 − 𝑥 − 3𝑦. Did Evelyn write an equivalent expression to the original problem? Explain your answer

s ≤ 60

An online music club has a one-time registration fee of $20 and charges $0.50 for each song download. If Ella has $50.00 to join the club and buy songs, which inequality gives the maximum number of songs, s, she can buy?

D)p-20/7

Caleb needs to finish a book in 7 days for his class. He has already read 20 pages. If p represents the total number of pages in the book, which expression can Caleb use to find out how many pages he has to read a day? A)7p + 20 B) p/7 + 20 C) p/7- 20 D) p-20/7

$15.20

Molly has a summer job to pick berries on a farm. She earns $2.00 every 15 minutes that she picks strawberries. She earns $2.40 for every 15 minutes that she picks blueberries. She picked strawberries for an hour and blueberries for 45 minutes. How much money did Molly earn?

the number of cars washed

The Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed.What is the independent variable in this relationship?

-11

The inequality x ≥ −10 represents the possible values for x on a number line.Which is NOT a possible value for x?

the number h minus 3

Translate from an algebraic expression to words. 3 - h

7 less than the product of 3 and the number u

Translate from the algebraic expression to words. 3u - 7

5x + 9

Translate from words to an algebraic expression. 9 more than the product of x and 5.

p/4

Translate from words to an algebraic expression. A number p divided by 4.

8/4

What is the first step in evaluating the expression (5 + 8 ÷ 4 × 3)2 − 7?

4 ÷ 2

What is the first step in evaluating the expression 6 − (4 ÷ 2 × 5)2?

−2(4) = 4(−2)

Which equation shows how the properties of numbers extend to negative whole numbers by the Commutative Property of Multiplication?

C and D

Which expressions below are equivalent to 3m + 2? a. 5m b. 3m + m + m c. 2m + m + 2 d. m + m + m + 2 e. (m+2) + (m+2) +( m+2)

6^5

Write the following expression as an exponent expression. 6 x 6 x 6 x 6 x 6