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1.1 System of Linear Equation_CFA

Last updated over 3 years ago

8 questions

1

1

0

1

1

1

1

1

Question 1

1.

Here are two equations:

Decide whether (3,4) is a solution to one equation, both equations, or neither of the equations.

Equation 1

Equation 2

Both Equations

Neither Equation

Question 2

2.

The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats sold, which system of equations represents the constraints in this situation?

40 s + h = 700 and18 s + 14 h = 700

18 s + 14 h = 40 and s + h = 700

s + h = 40 and 18 s + 14 h = 700

40 ( s + h ) = 700 and 18 s = 14 h

Question 3

3.

Last year you mowed grass and shoveled snow for 12 houses. You earned $225 per house for mowing lawns and $200 per house for shoveling snow for the year. You earned a total of $2600. Which system of equations could be used to find how many lawns, m, and how many sidewalks, s, you completed?

A.

B.

C.

D.

Question 4

4.

What is the value of x in the solution to the system?

-2

-4

2

4

Question 5

5.

Monica has $7.25 in her pocket. The money is in quarters and dimes. There are 12 coins in total in her pocket. Which system of equations could be used to find the total number of q, quarters, and d, dimes Monica has?

A

B

C

D

Question 6

6.

What is the solution to the system?

A. No solution

B. Infinite solutions

C. (0,0)

D. (-1,-9)

Question 7

7.

Which graph shows a system of equations that has no solution?

F

H

G

J

Question 8

8.

There are 34 rectangular blocks in a toy box. The height of each block is either 3 inches or 4 inches. The height of all 34 blocks combined is 117 inches. Which system of equations can be used to find the number of 3-inch blocks, x, and the number of 4-inch blocks, y, that are in the toy box?

A

B

C

D