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IntAlg 2019-20 Ch 01

Total questions: 25

Worksheet time: 1hrs 23mins

Name
Class
Date
1.
Which equation represents a nonlinear function? 
a)
x(y – 5) = 2 
b)
y – 2(x + 9) = 0 
c)
y + 6(2 – x) = 5 
d)
2(y + x) = 0 
2.

Which graph represents y – 1 = 2(x – 2)?

a)
b)
c)
d)
3.
A salesperson earns $200 a week plus a 4% commission on her sales. Which equation models the relationship between her sales in a given week, s, and her weekly earnings, e?
a)
e = (200s + 4)/100
b)
e = 200s + 4 
c)
e = 4s + 200
d)
e = 0.04s + 200
4.

Which function is most likely graphed on the coordinate plane below?

a)

f(x) = 3x – 11

b)

f(x) = -4x + 12

c)

f(x) = 4x + 13

d)

f(x) = -5x - 19

5.
On a science test, 2 points are deducted from a total of 100 points for each question answered incorrectly. Trevor scored an 84 on the test. The equation 100-2x=84, where x represents the number of questions answered incorrectly, represents the situation. How many questions did Trevor answer incorrectly? 
a)
8
b)
9
c)
12
d)
13
6.
In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station? 
a)
1 mile
b)
3 miles
c)
4 miles
d)
6 miles
7.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

8.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

9.

WRITE AN EQUATION

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

a)

7x+6=331

b)

13x=331

c)

6x+7=331

d)

331-7=6x

10.

5x + 9 - x = 13

a)

x = 2/3

b)

x = 7

c)

x = 4

d)

x = 1

11.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
12.
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
13.
3 + 12(3p + 2) = 9(p - 3)
a)
-20
b)
-13
c)
-2
d)
-18
14.
-12(x - 1) = -3(x - 1)
a)
10
b)
1
c)
14
d)
23
15.
−3(10 + 4v) = −6(5 − 9v)
a)
22
b)
-14
c)
0
d)
20
16.
4 − 7(v − 9) = −7 −6(v − 10)
a)
−12
b)
−15
c)
17
d)
14
17.
Solve:
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
18.
Solve:
7(x + 3) < 5x + 13
a)
x>-4
b)
x < 17
c)
x<-4
d)
x > -17
19.
Solve:
3(x - 2) < 2(x + 9)
a)
x<24
b)
x>12
c)
x<12
d)
x>24
20.
Solve:
4(2a + 3) < 3(a - 1)
a)
a<-3
b)
a>-3
c)
a<3
d)
a>3
21.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
22.
Sonia has $40 in her lunch account and pays $2 each day to eat lunch.
How long till her account has no money left?
a)
40 + 2x, 20 days
b)
40 - 2x, 20 days
c)
2 + 40x, 10 days
d)
2 - 40x, 15 days
23.
A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.
a)
c = 2.75b + 4
b)
c = 2.75b
c)
c =  4b- 2.75
d)
c = 2.75b - 4
24.

A climber is on a hike. After 2 hours, he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet.

Write a linear equation to represent the situation.

a)

y = 200x - 500

b)

y = 75x - 52494

c)

y = 300x + 1100

d)

y = 75x + 250

25.

While on vacation in Washington DC, the cab ride from Dulles airport to the hotel is 15 miles and costs $25.50. The cab driver charges $1.50 per mile plus a flat rate for the entire trip. What is the flat rate?

a)

$1.50

b)

$3.00

c)

$22.50

d)

$5.00