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Module 5 Review - Reveal Math

Total questions: 38

Worksheet time: 1hrs 16mins

Name
Class
Date
1.

Write 811×811×811×811×811×811\frac{8}{11}\times\frac{8}{11}\times\frac{8}{11}\times\frac{8}{11}\times\frac{8}{11}\times\frac{8}{11} using an exponent.

2.

Which expressions are equivalent to 535^3 ? Select ALL that apply.

a)

3×3×3×3×33\times3\times3\times3\times3

b)

5×5×55\times5\times5

c)

5×5×5×5×55\times5\times5\times5\times5

d)

15

e)

125

3.

Market researchers are studying the effects of sending an advertisement through text messaging. On the first day of the advertisement program, the researcher sent a text message to 8 people. On the next day, each of those people will send the text message to another 8 people, and so on. The pattern of sending the advertisement through text messaging is shown in the table. Predict the number of people who will receive the text message on the 8th day of the advertising program.

(a)  

4.

What is the first step in the Order of Operations?

a)

Find the value of all powers.

b)

Add and subtract in order from left to right.

c)

Multiply and divide in order from left to right.

d)

Simplify expressions inside grouping symbols, like parentheses.

5.

What is the second step in the Order of Operations?

a)

Find the value of all powers.

b)

Add and subtract in order from left to right.

c)

Multiply and divide in order from left to right.

d)

Simplify expressions inside grouping symbols, like parentheses.

6.

What is the third step in the Order of Operations?

a)

Find the value of all powers.

b)

Add and subtract in order from left to right.

c)

Multiply and divide in order from left to right.

d)

Simplify expressions inside grouping symbols, like parentheses.

7.

What is the last step in the Order of Operations?

a)

Find the value of all powers.

b)

Add and subtract in order from left to right.

c)

Multiply and divide in order from left to right.

d)

Simplify expressions inside grouping symbols, like parentheses.

8.

Evaluate the expression. 6.2+8÷22−(5×12)6.2+8\div2^2-\left(5\times\frac{1}{2}\right) Write your answer as a decimal.

(a)  

9.

Roberto is buying fruit from a local farmer's market. The prices are shown in the table. Write an expression to represent the total cost of buying 2 peaches, 5 mangoes, and 3 watermelons. [Use an x for multiplication and parentheses to show each multiplication problem. EX: (4x3)+(8x9). Write the expression in the order of the fruit in the story problem. Don't use a dollar sign in your expression.]

(a)  

10.

Roberto is buying fruit from a local farmer's market. The prices are shown in the table. Write an expression to represent the total cost of buying 2 peaches, 5 mangoes, and 3 watermelons. What is the total cost for the fruit? Round your answer to the nearest cent.

(a)  

11.

The local food bank is requesting donations in order to distribute meals during a holiday. Turkeys cost $18 each, a bag of potatoes cost $2.55 each, and cans of green beans cost $1.25 each. As of last week, the food bank needed 30 turkeys, 28 bags of potatoes, and 62 cans of green beans for meals. However, this week a grocery store donated 15 of the turkeys. how much money will need to be donated to distribute meals for all the families?

(a)  

12.

Identify the terms in the expression 8p+6q + 5 + 9q + 12p8p+6q\ +\ 5\ +\ 9q\ +\ 12p .

a)

5

b)

6, 8, 9, 12

c)

8p, 6q, 5, 9q, 12p

d)

8p and 12 p,

6q and 9q

e)

8p, 6q, 9q, 12p

13.

Identify the like terms in the expression 8p+6q + 5 + 9q + 12p8p+6q\ +\ 5\ +\ 9q\ +\ 12p .

a)

5

b)

6, 8, 9, 12

c)

8p, 6q, 5, 9q, 12p

d)

8p and 12 p,

6q and 9q

e)

8p, 6q, 9q, 12p

14.

Identify the coefficients in the expression 8p+6q + 5 + 9q + 12p8p+6q\ +\ 5\ +\ 9q\ +\ 12p .

a)

5

b)

6, 8, 9, 12

c)

8p, 6q, 5, 9q, 12p

d)

8p and 12 p,

6q and 9q

e)

8p, 6q, 9q, 12p

15.

Identify the constants in the expression 8p+6q + 5 + 9q + 12p8p+6q\ +\ 5\ +\ 9q\ +\ 12p .

a)

5

b)

6, 8, 9, 12

c)

8p, 6q, 5, 9q, 12p

d)

8p and 12 p,

6q and 9q

e)

8p, 6q, 9q, 12p

16.

Write fifteen dollars more than the original cost as an algebraic expression. Let c represent the original cost. Do not include dollar signs in your expression.

(a)  

17.

Match the algebraic expression to the verbal phrase. Let s represent the unknown value.

Eight more than five times the number of students in Mr. Baker's class.

a)

s + 8

b)

s + 5

c)

5s + 8

d)

8s + 5

18.

Match the algebraic expression to the verbal phrase. Let s represent the unknown value.

The number of students in Mr. Baker's class increased by 5.

a)

s + 8

b)

s + 5

c)

5s + 8

d)

8s + 5

19.

Match the algebraic expression to the verbal phrase. Let s represent the unknown value.

Five more than eight times the number of students in Mr. Baker's class.

a)

s + 8

b)

s + 5

c)

5s + 8

d)

8s + 5

20.

Match the algebraic expression to the verbal phrase. Let s represent the unknown value.

Eight more than the number of students in Mr. Baker's class.

a)

s + 8

b)

s + 5

c)

5s + 8

d)

8s + 5

21.

Evaluate c−dc-d if c=125c=1\frac{2}{5} and d=56d=\frac{5}{6} . Express your answer in simplest form. Use a / to represent the fraction bar.

(a)  

22.

Evaluate (6x+3y)−z2÷(2x)\left(6x+3y\right)-z^2\div\left(2x\right) when x=3x=3 , y=4y=4 , and z=6z=6 .

(a)  

23.

Evaluate 15zx−3y5\frac{15z}{x}-\frac{3y}{5} when x=3x=3 , y=4y=4 , and z=6z=6 .

(a)  

24.

Evaluate y(x2+4)+18zy\left(x^2+4\right)+\frac{18}{z} when x=3x=3 , y=4y=4 , and z=6z=6 .

(a)  

25.

Evaluate (9z+3y)÷(z2−10x)\left(9z+3y\right)\div\left(z^2-10x\right) when x=3x=3 , y=4y=4 , and z=6z=6 .

(a)  

26.

Savannah is choosing between two cell phone plans. Plan A charges $60 a month plus a one-time activation fee of $75. Plan B charges $63 a month plus a one-time activation fee of $15. Evaluate the expressions 60m+7560m+75 and 63m + 1563m\ +\ 15 when m=18m=18 to find the total cost for each cell phone plan for 18 months. What is the difference in cost between the two cell phone plans?

(a)  

27.

The table shows the city subway schedule for certain lines. Both subways are at the station right now. In how many minutes will both subways be at the station again?

(a)  

28.

Brad has 24 strands of blue holiday lights and 32 strands of white holiday lights. He wants to make displays of lights for customers' yards. Each display must have the same number of strands in it. Without mixing colors, what is the greatest number of strands of lights that Brad can put in each display?

(a)  

29.

Use the Distributive Property to rewrite 7(h+4)7\left(h+4\right) .

(a)  

30.

Use the GCF to factor 32x+5632x+56 .

(a)  

31.

Avery is buying cupcakes for 12 friends at the school bake sale. Each cupcake costs $1.25. Write an expression using the Distributive Property that you would use to find the total cost of 12 cupcakes.

(a)  

32.

Avery is buying cupcakes for 12 friends at the school bake sale. Each cupcake costs $1.25. If Avery had $24, how much money will she have left?

(a)  

33.

Are the expressions 4a+(5a+3c)4a+\left(5a+3c\right) and (4a+5a)+3c\left(4a+5a\right)+3c equivalent?

a)

Equivalent

b)

Not Equivalent

34.

Are the expressions 5x+25x+2 and 4x+1+x+24x+1+x+2 equivalent?

a)

Equivalent

b)

Not Equivalent

35.

Are the expressions 8y+4x+4y+58y+4x+4y+5 and 4(3y+x)+54\left(3y+x\right)+5 equivalent?

a)

Equivalent

b)

Not Equivalent

36.

Are the expressions y2+4y+5−3y^2+4y+5-3 and y2+y+5y^2+y+5 equivalent?

a)

Equivalent

b)

Not Equivalent

37.

Simplify the expression 4t2+6t−t2+9.5+3t+1.54t^2+6t-t^2+9.5+3t+1.5 .

38.

Simplify the expression 34v+14(12v+8)+14v+34\frac{3}{4}v+\frac{1}{4}\left(12v+8\right)+\frac{1}{4}v+\frac{3}{4} .

(a)