Slope
Write Equations
Solve Systems
Random
100

Which variable in y = mx + b represents slope?

m

100

The knitting club is selling mittens for $7 and hats for $6. They earned $225. Let m represents mittens and h represents hats. Write an equation to model this situation.

225 = 7m + 6h

100

Is (1, 3) a solution to the following system:

2y = 8 - 2x

x = 2y - 5 

Yes

100

Name any point that is on the line y = 3x - 5

Answers vary

200

Find the slope of the line that passes between the points (1, 1) and (4, 10).

m = 3

200

The soccer team is driving to their next game. Between the players and the families there are 90 people that need a ride. Some drivers have vans which fit 8 people, and others have cars which fit 5 people. Write an equation to represent how many cars, c, and how many vans, v, will be needed to drive everyone.

90 = 8v + 5c

200

Is (-1, 5) a solution for the following system:

14 = 3y + x

8x + 2y = -2

No

200

Name 2 points on the line 2y + 4x = 8

Answers vary

300

Find the slope of the line that passes between the points (3, 7) and (1, 3).

m=2

300

A high school club is researching a tour package offered by the Island Kayak Company. The company charges $35 per person and $245 for the tour guide. Which function represents the total cost, C, of this kayak tour package for x club members?

C = 245 + 35x

300

Solve the system:

2y = x + 5
x = 9

y = 7, x = 9

(9, 7)

300

What is the slope of the line that goes through (-2, 3) and (3, 1)

m = -2/5

400

What is the slope of the line that passes between

(0,  1) and (5,  2)?

m=1/5

400

Jim had a bag of coins. The number of nickels, n, and the number of quarters, q, totaled 28 coins. The combined value of the coins was $4.00. Write a system of equations that models this situation.

n + q = 28

0.25q + 0.05n = 4.00

400

Solve the system of equations:

4y - 2x = 14

x = 5

y = 6, x = 5

(5, 6)

400

Alex had $1.70 worth of nickels and dimes in his desk. There were 25 coins in all. 

Write a system of equations that could be used to determine both the number of nickels, n, and the number of dimes, d, that Alex had.

d + n = 25

0.05n + 0.10d = 1.70

500
What is the slope of the line that passes between (-8,  -3) and (-6, -6)?

M=-2/3

500

Anna plans to spend $30 on balloons and party hats. Balloons cost $2 each and party hats cost $1.50 each. The number of party hats Anna needs is twice as many as the number of balloons. 

If represents the number of balloons and y represents the number of party hats, write a system of equations that can represent this situation. 

30 = 2x + 1.50y

y = 2x

500

Solve the system of equations.

y = x + 2

12 = y + 4x

x = 2, y = 4

(2, 4)

500

Solve the system of equations. 

4y + 3x = 10

y = 1

x = 2, y = 1

(2, 1)

M
e
n
u