Unit 5 Test

Writing Expressions

100

Simplify the expression 2x - 4 + 3x + 2

5x - 2

200

Simplify the expression (m + 4) - 2.5m

-1.5m + 4

300

The water depth of a tidal river is 2.5 feet and is rising at a rate of 1.5 feet each hour. Write an expression to represent the depth of the tidal river after h hours. What will be the depth after 4 hours?

2.5 + 1.5h ; 8.5 feet

400

Simplify -9 + (-1/3y) + 6 - 4/3y

-5/3y - 3

500

Simplify the expression (-1/3x + 9.5) + x(3/4 + 2.5)

2 11/12x + 9.5

Factor Expressions

100

What is the GCF of 12 and 18?

GCF = 6

200

Factor the expression 20x + 32

4(5x + 8)

300

Factor the expression -9x + 15 + 18y

3(-3x + 5 + 6y)

400

Factor the expression -12x + 24 - 18y

6(-2x + 4 - 3y)

500

Factor the expression -6x +3y + 30a - 15

3(-2x + y + 10a - 5)

Adding Expressions

100

(2x + 4) + (5x + 3)

7x + 7

200

(-3x + 4y) + (3y - 7)

-3x + 7y - 7

300

Simplify the expression -4(-2.5n + 3n - 4)

-2n + 16

400

Add the expression (-5/3 n - 2 - 3t) + (5n + 4 - 1/2t)

10/3n - 7/2t + 2

500

There is a triangle whose bottom side is x. Another side of the triangle is 2 more than three times the bottom. The last side of the triangle is 4 more than the bottom. Write and simplify and expression that represents the perimeter of the triangle

5x + 6

Subtracting Expressions

100

(4y - 7) - (y - 7)

3y

200

Subtract the expression 14m - (5 + 8m)

6m - 5

300

Subtract the expression (3x - n - 1) - (2 - 2x - n)

5x - 3

400

Each month, a shopkeeper spends 5x + 11 dollars on rent and electricity. If he spends 2x - 3 dollars on rent, how much does he spend on electricity? 

3x + 14

500

Ryan's family wants to rent a car to go on vacation. Company A charges $50.50 and $0.08 per mile. Company B charges $70.50 and $0.12 per mile. How much more does Company B charge than Company A for driving d miles?

0.04d + 20

Random Topic 4

100

Are the expressions 3x - 4 and -4 + 3x equivalent?

Yes

200

Simplify the expression 2(x - 6) + 2(8)

2x + 4

300

There are 10x - 8 customers in a store on Monday and 6x + 16 customers on Tuesday. What is the total number of customers for the two days?

16x + 8

400

Thomas bought 80 tickets for rides at an amusement park. Each ride costs 5 tickets, and Thomas has been on x rides so far. Select all the expressions that show the number of tickets that Thomas has left.

80 - 5x

80 + 5x 

5(16 - x)

-5x + 80

5(16 + x)

80 - 5x

5(16 -x)

-5x + 80

500

Select all the expressions that are equivalent to

-3/4(32 + 24e - 4f)

a) 24 + 18e - 3f

b) -18e + 3f -24

c) -24 - 18e + 3f

d) 8 - 6e - f

e) 3(-8 - 6e + f)

B, C, E