Free Printable Chapter 7 Systems of Equations

Worksheets

Chapter 7 Systems of Equations

Total questions: 20

Worksheet time: 2hrs 20mins

Name

Class

Date

Solve:
y = -1x - 5
4x - 8y = 4

(-3, -2)

(5, -7)

(3, 9)

(-5, 4)

Solve:
y = 7x + 9
2y + 2x = -18

(5, 0)

(9, 18)

(-2, -5)

(1, 16)

Give the solution to the system

(3,1)

(1,3)

(-1,3)

a hoppy hippo

^{What is the solution?}

-2

(1, 2)

(1, -1)

Solve for x and y.
3x+y=-5
6x+2y=10

No Solution

Infinite Number of Solutions

(2,3)

(6,-2)

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?

10 horses, 18 chickens

16 horses, 12 chickens

12 horses, 16 chickens

18 horses, 10 chickens

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

x + y = 33
y = 2x - 3

x + y = 33
x = 2y - 3

x + y = 33
x = 3 - 2y

x + y = 3
x = 33 - 2y

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

$10

$15

$20

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

(0,3)

(3,0)

No solution(parallel lines)

Infinitely many solutions

10.

Where do these lines intersect?
x-y=11
2x+y=19

(10,-1)

(-1,10)

(3,-4)

(6,7)

11.

How many solutions will this system have?

No solution

One Solution

I Don't Know

Infinitely Many Solutions

12.

Solve the following system by graphing. What is the solution?

Infinity

(3, 3)

(3, -3)

(-3, 3)

13.

The solution to the system is

(-2, -8)

(-8, -2)

(2, -8)

No solution

14.

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

y = 6.80 + .65x
y=7.30+.90x

x + y = 6.80
x + y = 7.30

y = 6.80+.90x
y = 7.30 + .65x

y + .90x = 6.80
y + .65x = 7.30

15.

How can you tell if a point is a solution to a system?

It makes the first equation true.

The (x,y) coordinates satisfy both equations

It makes logical sense

It makes neither equation negative

16.

If a system of equations has no solution, what do you know about the slopes and y-intercepts of the two equations?

They have different slopes and different y-intercepts.

They have the same slopes and different y-intercepts.

They have the same slopes and the same y-intercepts.

They have different slopes and the same y-intercepts.

17.

What are the three methods we have learned to solve Systems of Equations?

Graphing, Substitution, and Elimination

Drawing, Consolidation, and Emancipation

Reading, Revocation, and Fluctuation

Radicalizing, Reformation, and Graduation

18.

DOT is making a brine solution for deicing highways, from two source solutions. The first solution is 30% salt, and the second solution is 50% salt. How many cubic meters of each are required to make 10 $m^3$ of a 42% solution?

(4,4)

(6,4)

(4,6)

(2,8)

19.

Dakota invested $12000, split into two different funds. Fund A was invested at 4% and Fund B at 2%. After a year she received interest payments totaling $400. How much was each initial investment?

(8000,5000)

(6000,6000)

(10000,4000)

(8000,4000)

20.

A landscaping company is combining soils from two sites to mix a premium topsoil. The soil from Site 1 is 30% organic content, and the soil from Site 2 is 15% organic content. How many tonnes from Site 2 will be needed to mix 600 tonnes at 21% organic content?

240 tonnes

300 tonnes

200 tonnes

400 tonnes

100 %

Chapter 7 Systems of Equations

Total questions: 20

Worksheet time: 2hrs 20mins

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