Download Review worksheet

Algebra Chapter 7 Review
Systems of Equations
I.
Name ____________
Solve the following by graphing.
A)
y=x+2
y = -1x +4
B)
y + 2x = -3 ________
y = -2x + 4
C)
x = -3
y=4
D)
II.
A
B
C
D
_________
________
1
x – 5 ________
2
y = -2x
y=
Solve the following by substitution
A)
y=7–x
y=x+3
B)
x = 2y – 7
y – 3x = -9
III.
Solve by Addition/Multiplication Algorithm (elimination)
A)
x+y=8
x–y=2
B)
7x + 3y = 13
3x – 2y = -1
C)
y = -x
3x + y = 6
C)
5x – 3y = 12
-2x + y = 0
III.
Solve the following. Define your variables, show all equations, show all work, and label the correct
solutions.
1. The sum of two numbers is thirty-two. Three times the first number decreased by twice the second number
is -4. Find the product of these two numbers.
2.
John has dimes and quarters worth $4.05. He has twice as many dimes as quarters. How many of each type
does he have?
3. At a wholesaler, two suckers and five candy bars cost $2.36. Four suckers and three candy bars cost $1.78.
Find the cost of each.
4. The perimeter of a rectangle is 462 inches. The length of the rectangle is 45 inches less than twice the width.
Find the AREA of the rectangle.
5. Morgan spends $1,970 each month on her mortgage payment and car payment. The ratio of the cost of the
car payment to the cost of the mortgage payment is 95 to 299. How much is Morgan’s mortgage and car
payment?