Free Printable Algebra 1 Chapter 4 Test Review

1.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

2.

Give the solution to the system.

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

(1, -3)

3.

Find the solution to the system.
y = x-6
y = -3x + 2

a)

(0, -6)

b)

(6, 0)

c)

(-4, 2)

d)

(2, -4)

4.

What is the solution to the system of equations?

a)

No Solution

b)

(2, 0)

c)

Infinitely Many Solutions

d)

(0, 2)

5.

What is the solution to the system of equations?

a)

(3, 4)

b)

(-3, -4)

c)

(-4, -3)

d)

(4, 3)

6.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

7.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

8.

What is the solution for x given the graph to the systems of equations

(a)

9.

What is the solution to the systems of equations shown in the graph?

a)

1 Solution x=-1/2

b)

1 Solution y=-1/2

c)

Many Solutions

d)

No Solution

10.

The solution to this system is...

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

(-4, -2)

11.

What is the Solution to this system?

a)

(2,-2)

b)

(-2,2)

c)

All Real Numbers

d)

No Solution

12.

What is the solution to this system?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

13.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

14.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

15.

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

a)

Intersecting lines

b)

Same line

c)

Parallel lines

16.

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

17.

What is the solution to this system?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

18.

The solution (x, y) to a system of equations is the point where they...?

a)

Run off the graph

b)

Don't touch

c)

Intersect

d)

Exist

19.

Based on the equations for each line, determine how many solutions the system would have.

y=2x+3

y=-4x+3

a)

Infinite Number of Solutions

b)

No Solution

c)

One Solution

20.

Solve this system by substitution.

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

21.

Solve the system of equations using the substitution method

a)

\left(-2,\ 6\right)

b)

$\left(6,\ -2\right)$

c)

$\left(-2,\ 4\right)$

d)

$\left(4,\ -2\right)$

22.

Solve the following systems of equations using substitution:

2y + x = -15

x = 3y

a)

(-3, -9)

b)

(-9, -3)

c)

(-3, 9)

d)

(9, -3)

23.

Solve the system by using the substitution method

a)

$\left(3,\ 6\right)$

b)

$\left(6,\ 3\right)$

c)

$\left(1,\ 4\right)$

d)

$\left(4,\ 1\right)$

24.

Solve for x and y using the substitution method.

5x + 3y = 7

y = 4

a)

(4,1)

b)

(4,-1)

c)

(1,4)

d)

(-1,4)

25.

What is the value of the x-coordinate to the solution to this system of linear equations?

2x + 3y = 15 and -x + 3y = 3

a)

3

b)

-3

c)

6

d)

4

26.

What is the value of the y-coordinate in this system of linear equations?

6x + 10y = -32 and 6x + 9y = -27

a)

y = 5

b)

y = 0

c)

y = -5

d)

y = 1

27.

solve by substitution: y=3x+14
y=-4x

a)

y=3

b)

y=1

c)

y= - 2

d)

y=4

28.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

29.

Solve the system given:
3x - y = 7
2x + y = 3

a)

(-1,2)

b)

(5,4)

c)

(4,5)

d)

(2,-1)

30.

What type of system is being illustrated by the graph?

a)

Consistent but Independent

b)

Consistent and Dependent

c)

Inconsistent

d)

Independent

31.

Which of the graphs represents the linear inequality $y>\frac{1}{2}x+3$ ?

a)

b)

c)

d)

32.

Which of the graphs represents the linear inequality $y\le-x-4$ ?

a)

b)

c)

d)

33.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x-5$

b)

$y\ge\frac{1}{3}x-5$

c)

$y\le-\frac{1}{3}x-5$

d)

$y>\frac{1}{3}x+5$

34.

Which of the following linear inequalities represents the graph?

a)

$y\ge3$

b)

$x\ge3$

c)

$y\le3$

d)

$y<3$

35.

Which of the following linear inequalities represents the graph?

a)

$x\ge2$

b)

$x\ge-2$

c)

$y\ge-2$

d)

$y>-2$

36.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x$

b)

$y>3x$

c)

$y<3x$

d)

$y>\frac{1}{3}x$

37.

Which of the following linear inequalities represents the graph?

a)

$y\ge\frac{1}{4}x$

b)

$y\le4x-2$

c)

$y<\frac{1}{4}x+2$

d)

$y\le\frac{1}{4}x+2$

38.

Which of the following linear inequalities represents the graph?

a)

$y>-\frac{4}{5}x-1$

b)

$y\le\frac{4}{5}x+1$

c)

$y<-\frac{4}{5}x-1$

d)

$y\le-\frac{4}{5}x+1$

39.

When graphing a linear inequality, < and > signs would require you to draw...

a)

a solid line

b)

a dotted line

40.

When graphing a linear inequality, $\le$ and $\ge$ signs would require you to draw...

a)

a solid line

b)

a dotted line

41.

How can I tell if the graph of an inequality will have a solid line?

a)

It has just an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

42.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

43.

Will my line be solid?
5 ≥ x

a)

Yes

b)

No

44.

Which of the following is a solution to the systems of inequalities?

a)

(0, 0)

b)

(-3, 0)

c)

(2, -5)

d)

(3, -1)

45.

Which of the following is NOT a solution to the systems of inequalities?

a)

(0, 0)

b)

(3, -2)

c)

(3, -4)

d)

(4, -4)

46.

Which of the following is a solution to the systems of inequalities?

a)

(0, 0)

b)

(-3, 0)

c)

(2, -5)

d)

(3, -1)

47.

Which of the following is a solution to the systems of inequalities?

a)

(0, -2)

b)

(-3, 0)

c)

(-3, 2)

d)

(1, 1)

48.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

49.

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

a)

2x + 3y > 100

x + y ≤ 40

b)

100x + 2y > 3

x + y ≤ 40

c)

100x + 40y > 100

3x + 2y ≤ 40

d)

3x + 2y > 100

x + y ≤ 40

50.

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

a)

x+y≤300
7.5x+5.5y≥2000

b)

x+y<300
7.5x+5.5y≥2000

c)

x+y≤300
7.5x+5.5y≤2000

d)

x+y>2000
7.5x+5.5y≤300

51.

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

a)

b + t < 15
3b + 6t > 66

b)

b + t > 15
3b + 6t < 66

c)

3b + 6t > 15
b + t < 66

d)

3b + 6t < 15
b + t < 66

52.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

53.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

54.

This system has an infinite number of solutions, TRUE or FALSE?

a)

TRUE

b)

FALSE

55.

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

a)

(2, -5)

b)

(5, -2)

c)

(-5, -2)

d)

(-2, 5)

e)

(-2, -5)

56.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

(0, -1.5)

57.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

58.

Look at the system of equations.
$y=-x+2$
$7x+4y=-1$
What is the value of x for the solution to this system of equations?

a)

-5

b)

-3

c)

3

d)

5

59.

A system of inequalities is shown.

$y\ge\frac{1}{2}x+1$
$y+3x\le6$
From the given points, select each point that is a solution to this system of inequalities.

a)

$\left(-1,\ -3\right)$

b)

$\left(1,\ 2\right)$

c)

$\left(2,\ 0\right)$

d)

$\left(4,\ 6\right)$

60.

Company S and Company T are cellphone providers. Their cost vs. minutes is shown on the graph.

At how many minutes would their cost be equal?

a)

10

b)

20

c)

30

d)

40

61.

Which of the following is a solution to the systems of inequalities?

a)

(-1, -3)

b)

(3, 0)

c)

(-2, 2)

d)

(4, 1)

62.

Which of the following is a solution to the systems of inequalities?

a)

(1, -5)

b)

(2, 3)

c)

(-2, 3)

d)

(-1, 1)

63.

Which system of inequalities matches the graph?

a)

x> -2
y < -4

b)

x< 2
y> 4

c)

x > 2
y < 4

d)

x > 2
y <- 4

64.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

a)

4A + 6B = 3

$13.50A - $13B = 6

b)

A + B = 4

A - B = 6

c)

4A + 6B = $13

3A + 7B = $13.50

d)

4A - 6B = $13

3A - 7B = $13.50

65.

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? Let "c" represent the # of people who ordered chicken and "s" represent those who ordered steak.

a)

c + s = 6
14.80c + 17s = 91

b)

c + s = 91
14.80c + 17s = 6

c)

c + s = 6
14.80s + 17c = 91

d)

c + s = 91
14.80s+ 17c = 6

Algebra 1 Chapter 4 Test Review

Total questions: 65

Worksheet time: 3hrs 10mins

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