Unit 4 Study Guide

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)

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)

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

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)

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)

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)

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

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.

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

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

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

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

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)

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

• A

• B

• C

• D