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Unit Summative Solving and Applying Linear Equations (Unit II)

Total questions: 20

Worksheet time: 1hrs 16mins

Name
Class
Date
1.

7x = 42

a)

294

b)

6

c)

7

d)

284

2.

9n = 45

a)

6

b)

5

c)

-5

d)

7

3.

Take out scrap paper and solve: 7x - 4 = 24

4 lines
4.

Take out scrap paper and solve: 9k - 8 = 10

4 lines
5.

What is the first step in solving the equation:

4(x−2)=124\left(x-2\right)=12  

a)
b)
c)
d)
6.

What is the first step in solving the equation:

2x−3+5x=182x-3+5x=18  

a)
b)
c)
d)
7.
3x + 2(4x - 4) = 3
a)

4

b)

3

c)

2

d)

1

8.
9+2a=-3-4a
a)
a = -2
b)
a = 2
c)
a = 5
d)
a = -1
9.
22+2a=37+6+a
a)
a = 21
b)
a = 5
c)
a = -5
d)
a = -16
10.

Using the math we just saw, solve this equation.

 14 + 3n = 5n − 6\ 14\ +\ 3n\ =\ 5n\ -\ 6  

a)

n = 10

b)

n = -10

c)

n = -18

d)

n = -22

11.
Last week, you finished level 2 of a video game in 32 minutes. Today, you finished level 2 in 28 minutes. What is your percent of change?
a)
Increase 12.5%
b)
Decrease 12.5%
c)
Increase 4%
d)
Decrease 4%
12.
Mary lost 30 pounds.  Before her diet she weighed 180 pounds.  What is the percent of change?
a)
17% Decrease
b)
18% Decrease
c)
19% Decrease
d)
20% Decrease
13.

A pair of Air pods cost $140. They are on sale for 20% off the original price. How much are they after the discount?

a)

$28

b)

$112

c)

$114

d)

$280

14.
The regular retail price of a bag of Crunchy Pretzels is $4.98. Eat Right Markets and Food For Less both have monetary incentives on Crunchy Pretzels. Which has the better incentive and what is the savings on four bags?
Eat Right Market - 2 Bags for $5.00
Food for Less Buy - 1 Bag Get 1 Bag Free
a)
Eat Right Markets; $0.04
b)
Food For Less; $0.04
c)
Eat Right Markets; $9.96
d)
Food For Less; $9.96
15.
An equation stating that two ratios are equal.
a)
Proportion
b)
Congruent
c)
Unit RAte
d)
Scale FActor
16.
A comparison of two numbers by division.
a)
Rate
b)
Unit Rate
c)
Ratio
d)
Corresponding Sides
17.
A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?
a)
9ft x 10ft
b)
1ft x 2ft
c)
12ft x 6ft
d)
18ft x 20ft
18.

On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?

a)

200 miles

b)

175 miles

c)

100 miles

d)

125 miles

19.
**** A model of a planned baseball stadium is 2 ft wide. The actual stadium will be 200 yd wide. What is the scale?
a)
2 feet = 50 yards
b)
1 foot = 200 yards
c)
1 foot = 100 yards
d)
1 foot = 50 yards
20.
**** On a map, the distance between two towns in 2.6 cm. The scale of the map is 1 cm:50 km. What is the actual distance between the two towns?
a)
100 km
b)
130 km
c)
70 km
d)
150 km