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Chapter 1 Review ALG2

Total questions: 20

Worksheet time: 41mins

Name
Class
Date
1.

Solve

-4x-2y=-12

4x+8y=-24

a)

(5,6)

b)

(6,-6)

c)

(6,-2)

d)

(4,-3)

2.
Solve by elimination 
5x+6y= -10
3x-2y= -6
a)
(-2,0)
b)
(0,-2)
c)
(2,0)
d)
(0,2)
3.
This system has _____ solutions
a)
no
b)
1
c)
2
d)
Infinitely many
4.
What is the equation of the graph below?
a)
f(x) = I x + 2 I 
b)
f(x) = I x  I + 2
c)
f(x) = I x  I - 2
d)
f(x) = I x - 2 I 
5.
What is the equation of the graph below?
a)
f(x ) = I x + 2 I - 4
b)
f(x ) = -I x - 2 I + 4
c)
f(x ) = I x - 4 I + 2
d)
f(x ) = -I x + 4 I + 2
6.

What is the equation of the graph?

a)

y>3x+1

b)

y>1x+3

c)

y<3x+1

d)

y<1x+3

7.

Write the equation of the following linear inequality.

a)

y>|x|+2

b)

y>|x|-2

c)

y>|x+2|

d)

y>|x-2|

8.

For a school play, adults tickets a cost $12 and student tickets s cost $8. The drama club wants to collect at least $5000. Which inequality expresses the constraint on income?

a)

12a + 8s < 5000

b)

12a + 8s > 5000

c)

12a + 8s < 5000

d)

12a + 8s > 5000

9.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
b)
y < 2x - 4
y < 2
c)
y > 2x - 4
<  2 
d)
y < 2x - 4
<   -2
10.
Write an equation in slope-intercept form from the points (-4, -2) and (-3, 5)
a)
y = 1/7x
b)
y = 1/7x + 26
c)
x = 7y + 26
d)
y = 7x + 26
11.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9 
c)
y = x + 3
d)
y = 12x - 3
12.
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used? 
a)
1s + 3c = 38
2s + 3c = 52
b)
3s + 1c = 38
3s + 2c = 52
c)
s + c = 38
s + c = 52
d)
3s + 3c = 38
1s + 2c = 52
13.
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.  It turns out that the doughnuts were more popular than the coffee.  On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.  Which equations could be used to determine the cost of the coffee? 
a)
10c + 5d = 14.25
5c + 10d = 16.50
b)
10c + 5d = 16.50
5c + 10d = 14.25
c)
c + d = 10
5c + 10d = 16.50
d)
c + d = 5
5c + 10d = 16.50
14.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
15.
a)
-1
b)
-2
c)
5
d)
3
16.

Daniel and his friends are going to the carnival. The carnival has a $6.80 entry fee. It costs $0.70 for each ride.

Write a linear model to fit the situation then find how much it would cost if they went on 6 rides.


Let C represent cost and r represent rides.

a)

C = 0.70r + 6.80

Cost for 6 rides: $11.00

b)

R = 0.70c + 6.80

Cost for 6 rides: $1.14

c)

C = 6.80r + 0.70

Cost for 6 rides: $11.00

d)

C = .70r + 6

Cost for 6 rides: $11.00

17.
Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.
a)
15x + 3x = 99    and 6 movies
b)
15x + 3 = 99 and 6 movies
c)
3x + 15 = 99 and 28 movies
d)
3x + 99 = 15 and 28 movies
18.

Solve this system of equations:

y=x+2

3x-2y=5

a)

(9,11)

b)

(1,3)

c)

(0,2)

d)

(-1,1)

19.
Which of the following inequalities matches the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤  2/5x + 1
d)
y ≥ -2/5x - 1
20.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10