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100

Enter the value of n so that the expression

(–y + 5) + (7y – 9) is equivalent to (ny – 4).

6

100

A student wrote an equivalent expression to 1.2(2.2 + 3y - 3.7). The students' steps are shown.


Step 1: 1.2(2.2 + 3y - 3.7)

Step 2:  2.64 + 3.6y - 4.44

Step 3: 2.64 - 4.44 + 3.6y

Step 4: 7.08 + 3.6y

Which statement identifies and explains the mistake the student made?


  1. The first mistake was in Step 3. The 3.6y should be negative and the 4.44 should be positive.

  2. The first mistake was in Step 3. When recording the terms, 2.64 should be the coefficient of y rather than 3.6.

  3. The first mistake was in Step 4. The 3.6 y should be negative.

  4. The first mistake was in Step 4. The student added 4.44 to 2.6 instead of subtracting 4.44 from 2.6.

4

100

Simplify the expression.


(2.1x + 4.3) – (–3x – 7)?

5.1x + 11.3

100

 Select all expressions that are equivalent to 6x + 3(2x + 3) + 8x.


  1. 12x + 9 + 8x

  2. 12x + 3 + 8x

  3. 11x + 6 + 8x

  4. 20x + 9

  5. 20x + 3

  6. 19x + 6

1 and 4

100

A class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students have is 52. 


Part A

Create an equation that models this situation.


 4(x + 8) = 52 or 4x + 4(8) = 52 or 4x + 32 = 52

200

 Enter the value of n so that the expression

–y + 5.3 + 7.2y – 9 is equivalent to 6.2y + n.



-3.7

200

Use the distributive property to simplify the expression.


   -4(3x - 7)

-12x + 28

200

Simplify the expression.


(3x + 2) + (–6x + 3)?



-3x + 5

200

An expression is given.


3x + 5(–4x + 12) – (x – 3).


Write TWO equivalent expressions by applying the properties of operations.





 –18x + 63 and 3x –20x + 60 – x + 3

200

A class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students have is 52. 

Part B

How many girls are in the class?

5 girls

300

Which property is demonstrated by the equation shown?


2x+6-3x+2 = 2x-3x+6+2


  1. Distributive property

  2. Commutative property

  3. Associative property

  4. Inverse property



Commutative Property
300

Simplify the expression.


 5x + ½ (4x - 8)



7x - 4

300

A woman has a recipe for spaghetti that uses 1 3/4 pounds of tomatoes. Each pound of tomatoes costs $2.35.


What is the total cost of the tomatoes the woman needs to make the whole recipe?




$4.11

300

An equation is given.

3x - 6 = 27

What is the solution to the equation?


  1. 7

  2. 11

  3. 36

  4. 66

2

300

A baker needs flour to make bread and cookies. 


  • He uses 3 cups of flour for the bread.  

  • He needs 1 ½ cups of flour for each batch of cookies. 

  • He uses a total of 12 cups of flour. 


Part A

Create an equation that models the situation with x representing the number of batches of cookies the baker can make. 




 

3+1.5x=12

400

Which expression is equivalent to 36x + 9?


  1. 4x + 1

  2. 36(x + 1)

  3. 4(9x + 1)

  4. 9(4x + 1)

9(4x + 1)

400

A student claims that the expression -3(x - 2) is equivalent to -3x - 2. Which statement identifies and corrects the error in the student’s work?


  1. The student did not subtract 2 from -3x; the equivalent expression is -5x.

  2. The student did not subtract 2 from -3; the equivalent expression is -3x-5.

  3. The student did not find the product of -3 and -2; the equivalent expression is -3x+6.

  4. The student did not keep the parenthesis around -2; the equivalent expression is -3x(-2).

3

400

A farmer mows a field.

  • The farmer mows at a rate of 1/2 acre every 15 minutes.

  • The field has a total area of 12 acres.

  • The farmer is only mowing 2/3 of the field.

How long, in minutes, will it take the farmer to mow 2/3 of the field?



240 min

400

An equation is given:

0.5(x - 3) = 7.5


What is the solution to the equation?

x = 18

400

A baker needs flour to make bread and cookies. 

  • He uses 3 cups of flour for the bread.  

  • He needs 1 ½ cups of flour for each batch of cookies. 

  • He uses a total of 12 cups of flour. 


Part B

How many batches of cookies can the baker make?

x = 6

500

 Select TWO expressions that are equivalent to –72x + 60.


  1. –12(6x – 5)

  2. –12(–6x – 5)

  3. -8(9x - 7)

  4. 8(-9x + 7)

  5. 6(–12x + 10)

  6. –6(–12x – 10)

1 and 5

500

Which expression is equivalent to

–0.8(10.8x – 20 + 3.2x)?


  1. –11.2x + 16

  2.  –11.2x – 16

  3. –8.64x – 16.8

  4. –8.64x + 16.8

1

500

An expression is given.


-2x-4


The value of x can be represented by any integer greater than -5 and less than 5. 


A student states that because both terms, -2x and -4, are negative, the given expression will always have a negative value.


Enter a value of x that proves the student’s statement is false.

-4, -3, -2

500

An auditorium sets up chairs for a concert.

  • There are 250 chairs already set up.

  • The crew sets up 75 chairs per hour.

  • A total of 550 chairs are needed for the concert.

Which equation can be used to determine h, the number of hours it will take to set up the total number of chairs?


  1. 325h = 550

  2. 325 = 550h

  3. 75h + 250 = 550

  4. 75 + 250h = 550

3

500

A shopper purchased 5 red shirts and x blue shirts. Each shirt costs $9.50. The total cost for the shirts is $76.00. 


Select the two equations which could be used to determine x, the number of blue shirts the shopper purchased.


  1. 9.5(5)+x=76

  2. 7+9.5(x)=76

  3. 9.5(5+x)=76

  4. 9.5(5)+9.5x=76

  5. 9.5(5+x)=(9.5)76

3 and 4