Honors Math 7th Unit 8 Test STUDY GUIDE
Honors Math 7th Unit 8 Test STUDY GUIDE
7. Is the point (2, 1) a solution to the system?
y = 6x – 11
-2x – 3y = -7
8. Select the coordinate point that is a solution to the system.
a) (-3, -4)
c) (3, -4)
b) (3, 4)
-7x – 2y = -13
x – 2y = 11
d) (-3, 4)
Solve by using the substitution method. Show your work!
9. y = x + 2
y = 3x + 4
10. 6x – 5y = 22
y = -8
11. y = -8x
2x + 4y = 0
Solve by the elimination method. Show your work!
12. 2x + y = 3
3x – y = 2
13. 5x + y = 9
10x – 7y = -18
14. -7x + y = -19
-2x + 3y = -19
Honors Math 7th Unit 8 Test STUDY GUIDE
Solve using the method of your choice. Hint: Remember the format of the problem helps determine which
method to use. Show your work!
15. 2x + y = 20
6x – 5y = 12
16. y = 2x - 5
y = 3x + 4
17. 4y = 2x - 36
y = 5x
Solve each systems word problem by setting up two equations and solving. Show your work!
18. A store sells two different kinds of rulers, plastic and wood. The receipts show that they have sold 35 total
rulers today. The plastic rulers cost $2 each and the wood rulers cost $3 each. $82 worth of rulers were sold
today. How many of each type of ruler were sold?
19. Isaiah bought a total of 22 pieces of candy. The tootsie rolls cost 3 cents each and the jolly ranchers cost 5
cents each. If Isaiah spent a total of $90 cents, how many of each candy did he purchase?
Honors Math 7th Unit 8 Test STUDY GUIDE
20. The tables below show five points on lines of two different linear equations. Stacey concludes that (3,5) is the
solution to the system. Which of the following justifies her conclusion?
a)
b)
c)
d)
e)
Only these two lines contain (3,5).
The two lines have the same rate of change.
The two lines have the same slope.
The point (3,5) appears in both tables.
The graphs are parallel to each other.
x
y
1
2
15
10
3
5
4
0
5
-5
x
Y
1
2
1
3
3
4
5
7
5
9
21. What is the y coordinate of the ordered pair that satisfies this system of linear equations?
2x + 3y = 23
-x – 7y = -39
22. How many solutions does this system of equations have?
23. A system of equations is shown.
a) -4
b) -5
c) 4
d) 5
2x – 4y = 10
-2x + 4y = -10
4x + 2y = 18
X + 3y = -13
Which sequence of operations would produce the correct x or y value of the solution to this system of equations?
a) Multiply the first equation by 3 and add the result to the second equation to eliminate the y variable
b) Multiply the first equation by 3, and the second by 2, then add together to eliminate the y variable.
c) Multiply the second equation by 18/13 and add to the first equation to eliminate the constant and solve for x
and y
d) Multiply the second equation by -4 and add the result to the first equation to eliminate the x variable.