6. What is the solution of the system? Use substitution. 3 x + 2 y = 7 3x+2y=7 3 x + 2 y = 7 y = − 3 x + 11 y=-3x+11 y = − 3 x + 1 1

A ( − 4 , 19 2 ) \left(-4,\ \frac{19}{2}\right) ( − 4 , 2 1 9 )

8.Sharon has some one-dollar bills and some five-dollar bills. She has 14 bills. The value of the bills is $30. Solve a system of equations using elimination to find how many of each kind of bill she has.

C 4 five-dollar bills, 10 one-dollar bills

A 3 five-dollar bills, 15 one-dollar bills

B 5 five-dollar bills, 9 one-dollar bills

D 5 five-dollar bills, 5 one-dollar bills

9.What is the solution of the system? Use elimination. 5 x + 8 y = − 29 5x+8y=-29 5 x + 8 y = − 2 9 7 x − 2 y = − 67 7x-2y=-67 7 x − 2 y = − 6 7

C ( − 10 , 21 8 ) \left(-10,\ \frac{21}{8}\right) ( − 1 0 , 8 2 1 )

14.Which inequality represents the graph?

B) y ≤ − 3 x + 4 y\le-3x+4 y ≤ − 3 x + 4

A) y ≤ − 3 x − 4 y\le-3x-4 y ≤ − 3 x − 4

C) y ≥ − 3 x − 4 y\ge-3x-4 y ≥ − 3 x − 4

D) y ≥ − 3 x + 4 y\ge-3x+4 y ≥ − 3 x + 4

16.What system of inequalities is represented by the graph?

A y ≤ x − 2 a n d y ≤ − 3 x − 6 y\le x-2\ and\ y\le-3x-6 y ≤ x − 2 a n d y ≤ − 3 x − 6

B y ≥ x − 2 a n d y ≥ − 3 x − 6 y\ge x-2\ and\ y\ge-3x-6 y ≥ x − 2 a n d y ≥ − 3 x − 6

C y ≤ x + 3 a n d y ≥ 2 x − 6 y\le x+3\ and\ y\ge2x-6 y ≤ x + 3 a n d y ≥ 2 x − 6

D y ≥ x + 3 a n d y ≤ 2 x − 6 y\ge x+3\ and\ y\ \le2x-6 y ≥ x + 3 a n d y ≤ 2 x − 6

17.You have a gift certificate to a book store worth $95. Each paperback books is $10 and each hardcover books is $17. You must spend at least $20 in order to use the gift certificate. Write a system of inequalities to model the number of each kind of books you can buy. Let x = the number of paperback books and y = the number of hardback books.

10x+17y\le95 1 0 x + 1 7 y ≤ 9 5 and 10x+17y\ge20 1 0 x + 1 7 y ≥ 2 0

10 x + 17 y ≥ 95 10x+17y\ge95 1 0 x + 1 7 y ≥ 9 5 and 10 x + 17 y ≤ 20 10x+17y\le20 1 0 x + 1 7 y ≤ 2 0

10 x + 17 y = 95 10x+17y=95 1 0 x + 1 7 y = 9 5 and 10 x + 17 y = 20 10x+17y=20 1 0 x + 1 7 y = 2 0

Unit 4 Study Guide

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.C.8B, HSA.REI.D.12, 6.RP.A.3B

+2

Standards-aligned

Jerry Saetern

Used 34+ times

FREE Resource

17 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

1.Which graph is the solution of this system? $y=2x+1$ $y=-3x-1$

A (0, -1)

B (0.4, 0.2)

C (0.4, -0.2)

D (-0.4, 0.2)

Tags

CCSS.8.EE.C.8B

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

2.Which graph is the solution of this system? $5x+4y=9$

$4x+4y=8$

A (-1, -1)

B (1, -1)

C (-1, 1)

D (1, 1)

Tags

CCSS.8.EE.C.8B

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

3.Kendra owns a restaurant. She charges $3.00 for 2 eggs and one piece of toast, and $1.80 for one egg and one piece of toast. How much does Kendra charge for an egg? A piece of toast?

A $.60 per egg; $1.20 for toast

B $1.20 per egg; $.60 for toast

C $1.20 per egg; $1.20 for toast

D $.60 per egg; $.60 for toast

Tags

CCSS.6.RP.A.3B

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

4.Which graph is the solution of this system? $y=-3x+2$
$y=-3x+4$

A No Solutions

B Infinitely Many Solutions

C (0, 2)

D (0, 4)

Tags

CCSS.8.EE.C.8B

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

5. What is the solution of the system? Use substitution. $y=x+6$
$y=2x$

A (6, 12)

B (2, 4)

C (-12, -6)

D (-6, -12)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

6. What is the solution of the system? Use substitution. $3x+2y=7$
$y=-3x+11$

A $\left(-4,\ \frac{19}{2}\right)$

B (6, -7)

C (5, -4)

D (6, -3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

7.How many solutions does the system have? $x=-4y+4$
$2x+8y=8$

A. one solution

B. two solutions

C. infinitely many solutions

D. no solution

Tags

CCSS.8.EE.C.8B

9.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

9.What is the solution of the system? Use elimination. $5x+8y=-29$
$7x-2y=-67$

A (-9, 2)

B (-1, -3)

C $\left(-10,\ \frac{21}{8}\right)$

D (-7, 9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

10.Pick the best graph that represents the inequality. $4x+6y\ \ge10$

A

B

C

D

Tags

CCSS.HSA.REI.D.12

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Unit 4 Study Guide

17 questions

1.Which graph is the solution of this system? y=2x+1y=2x+1y=2x+1 y=−3x−1y=-3x-1y=−3x−1

2.Which graph is the solution of this system? 5x+4y=95x+4y=95x+4y=9 4x+4y=84x+4y=84x+4y=8

3.Kendra owns a restaurant. She charges $3.00 for 2 eggs and one piece of toast, and $1.80 for one egg and one piece of toast. How much does Kendra charge for an egg? A piece of toast?

4.Which graph is the solution of this system? y=−3x+2y=-3x+2y=−3x+2 y=−3x+4y=-3x+4y=−3x+4

5. What is the solution of the system? Use substitution. y=x+6y=x+6y=x+6 y=2xy=2xy=2x

6. What is the solution of the system? Use substitution. 3x+2y=73x+2y=73x+2y=7 y=−3x+11y=-3x+11y=−3x+11

7.How many solutions does the system have? x=−4y+4x=-4y+4x=−4y+4 2x+8y=82x+8y=82x+8y=8

8.Sharon has some one-dollar bills and some five-dollar bills. She has 14 bills. The value of the bills is $30. Solve a system of equations using elimination to find how many of each kind of bill she has.

9.What is the solution of the system? Use elimination. 5x+8y=−295x+8y=-295x+8y=−29 7x−2y=−677x-2y=-677x−2y=−67

10.Pick the best graph that represents the inequality. 4x+6y ≥104x+6y\ \ge104x+6y ≥10

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Discover more resources for Mathematics

1.Which graph is the solution of this system? $y=2x+1$ $y=-3x-1$

2.Which graph is the solution of this system? $5x+4y=9$

$4x+4y=8$

4.Which graph is the solution of this system? $y=-3x+2$
$y=-3x+4$

5. What is the solution of the system? Use substitution. $y=x+6$
$y=2x$

6. What is the solution of the system? Use substitution. $3x+2y=7$
$y=-3x+11$

7.How many solutions does the system have? $x=-4y+4$
$2x+8y=8$

9.What is the solution of the system? Use elimination. $5x+8y=-29$
$7x-2y=-67$

10.Pick the best graph that represents the inequality. $4x+6y\ \ge10$