Chapter 7 test reviewMultiple Choice
Identify the choice that best completes the statement or answers the question.
Use the graph below to determine the number of solutions the system has.
y
+
3
7
–x
5
x
y=
y=
6
–
1
4
3
2
1
–6
–5
–4
–3
–2
–1
–1
–2
2y
–6
–7
1
2
3
4
5
6
7
x=4
y=
x
–
2x
2
=
–3
–4
–5
–6
–7
____
1.
a. no solution b. one c. two d. infinitely many
____
2.
a. no solution b. one c. two d. infinitely many
____
3.
a. no solution b. one c. two d. infinitely many
____
4.
a. no solution b. one c. two d. infinitely many
____
5.
a. no solution b. one c. two d. infinitely many
x
Short Answer
Use elimination to solve the system of equations.
6.
7.
8.
9.
Determine the best method to solve the system of equations. Then solve the system.
10.
11.
12.
13.
14.
Solve the system of inequalities by graphing.
15.
16.
The sum of two positive integers is less than 80 and their difference is more than 10.
17. Write a system of inequalities to represent this situation.
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely
many solutions. If the system has one solution, name it.
18.
Use substitution to solve the system of equations.
19.
20. The sum of two numbers is 90. Their difference is 12. What are the numbers?
21. Jordan is 3 years less than twice the age of his cousin. If their ages total 48, how old is Jordan?
Chapter 7 test review- Chapter 7 test on Thursday, April 19
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
B
B
D
B
A
SHORT ANSWER
6.
7.
8.
9.
(3, 0)
(2, –2)
(–1, –1)
(–3, 0)
10. elimination using addition;
11.
12.
13.
14.
15.
substitution;
elimination using subtraction;
substitution;
elimination using addition; no solution
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
–2
–3
–4
–5
1
2
3
4
5
x
16.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
17.
18. one solution; (–3, –5)
y
6
4
2
–6
–4
–2
2
–2
–4
–6
19. (33, 36)
20. 39 and 51
21. 31
4
6
x