Quiz about Unit 4 Review

Question 1

Nina wrote the following expression: $$18+2\cdot3^2-36\div4$$ , where should she put parentheses so the expression is equal to 45?

Accepted Answer

$$18+\left(2\cdot3\right)^2−36\div4$$

Answer

$$(18+2)\cdot3^2−36\div4$$

Answer

$$18+2\cdot3^2−\left(36\div4\right)$$

Answer

$$18+2\cdot\left(3^2\right)−36\div4$$

Question 2

What mathematical term describes both 5.3 and 8.2 in the following expression?

$$5.3x-8.2y+11.1$$

Accepted Answer

coefficients

Answer

terms

Answer

constants

Answer

variables

Question 3

Which value is equivalent to $$2\left(x-3\right)$$ ?

Accepted Answer

$$2x-6$$

Answer

$$2x-3$$

Answer

$$2x+3$$

Answer

$$2x+6$$

Question 4

Monica uses the distributive property to write an equivalent expression to $$63+28$$ . Which expression did Monica write?

Accepted Answer

$$7\left(9+4\right)$$

Answer

$$9\left(7+3\right)$$

Answer

$$3\left(21+25\right)$$

Answer

$$3\left(60+25\right)$$

Question 5

A planner assembles party favor bags filled with glow sticks and temporary tattoos for a client. There are 24 glow sticks and 30 temporary tattoos to divide evenly among the bags.

If there are no leftovers, what is the greatest number of bags the planner can assemble?

Accepted Answer

6 bags

Answer

8 bags

Answer

24 bags

Answer

30 bags

Question 6

The elementary school school lunch menu repeats every 25 days; the middle school lunch menu repeats every 15 days. If both schools are serving chicken tenders today, how many more days until they serve chicken tenders again?

Accepted Answer

75 days

Answer

5 days

Answer

10 days

Answer

40 days

Question 7

Find the sum: $$\frac{3}{7}+\frac{3}{2}$$ [leave your answer as an improper fraction]

Accepted Answer

$$\frac{27}{14}$$

Answer

$$\frac{14}{27}$$

Answer

$$\frac{6}{9}$$

Answer

$$\frac{9}{14}$$

Question 8

Find the difference: $$7\frac{1}{3}-3\frac{4}{9}$$ [leave answer as an improper fraction]

Accepted Answer

$$\frac{35}{9}$$

Answer

$$\frac{9}{35}$$

Answer

$$\frac{4}{21}$$

Question 9

Write an equivalent expression by combining like terms: $$h+1+3h+3$$

Accepted Answer

$$4h+4$$

Answer

$$3h^2+4$$

Answer

$$7h$$

Answer

$$8h$$

Question 10

Mrs. Wright asked her students to simplify the following expression: $$5b+19-2b+11$$ . Which student simplified correctly?

Accepted Answer

Lamont: $$3b+30$$

Answer

Justice: $$7b+30$$

Answer

Kaelyn: $$7b+8$$

Answer

Skyler: $$3b+8$$

Question 11

Which best represents the expression 9n-7?

Accepted Answer

seven less than nine times a number

Answer

nine less than seven times a number

Answer

nine times the difference of a number and seven

Answer

seven times nine subtracted from a number

Question 12

Which expression is equivalent to 6y?

Accepted Answer

y + y + y + y + y + y

Answer

6+y

Answer

7y-1

Answer

y * y * y * y * y * y

Question 13

Which expression represents 7 minus the product of 4 and a number b?

Accepted Answer

7-4b

Answer

7-(4+b)

Answer

4b-7

Answer

4-7b

Question 14

What is the value of this expression $$9q\ +\ \left(16-r\right)$$ if q=6 and r=4?

Accepted Answer

66

Answer

108

Answer

42

Answer

27

Question 15

$$\frac{5}{3}\left(3p-6\right)-\left(6-4p\right)$$ if p=5

Accepted Answer

29

Answer

32

Answer

30

Answer

26

Question 16

Are the expressions $$5\left(x+2\right)+10$$ and $$5x+12$$ equivalent? Why?

Accepted Answer

No. The two expressions give different values when x=3 is substituted in them.

Answer

No. The coefficient of x is different in both expressions.

Answer

Yes. The coefficient of x is the same in both expressions.

Answer

Yes. The two expressions give the same value when x=2 is substituted in them.

Question 17

Joe is 4 more than triple the age of Luke. What is an algebraic expression to represent Joe's age when x represents Luke's age?

Accepted Answer

4 + 3x

Answer

4(3x)

Answer

4 - 3x

Answer

$$4\left(\frac{1}{3}x\right)$$

Question 18

Brent earns $10 for every car he washes and $15 for every lawn he mows. Let x represent the number of cars he washes and y stand for every lawn he mows. Which expression represents the total money Brent will earn washing cars and mowing lawns?

Accepted Answer

15y+10x

Answer

15x+10y

Answer

15+10(xy)

Answer

10+15(xy)

Unit 4 Review

21 questions

Follow the order of operations.
1. Parentheses
2. exponents
3. add then subtract (do what comes first)

What is the value of the expression 10 + 8² + 5(7-4)³÷ 5

Follow the order of operations.
1. exponents
2. division
3. subtract then add (do what comes first)

Look at your answer choices. After solving, which answer gets you 45?

remember: coefficients are in front of the variables

multiply the 2 on the outside to everything on the inside. 2(x)-2(3)=2x-6

GCF of 63 and 28 is 7. GCF goes on the outside and the factors you multiply by gcf go on the inside.

A planner assembles party favor bags filled with glow sticks and temporary tattoos for a client. There are 24 glow sticks and 30 temporary tattoos to divide evenly among the bags.
If there are no leftovers, what is the greatest number of bags the planner can assemble?

The GCF of 24 and 30 is 6

The elementary school school lunch menu repeats every 25 days; the middle school lunch menu repeats every 15 days. If both schools are serving chicken tenders today, how many more days until they serve chicken tenders again?

The LCM of 25 and 15 is 75

LCM of 7 and 2 is 14 (you can also just multiply the denominators together). Multiply 7 by 2 and 2 by 7. Whatever you do to the bottom, do to the top.

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