Linear equations (three variables)

Pencils are $0.10 each and pens are $0.25 each. If Raj wants to buy a combination of pencils and pens, but he only has $50 to spend, which equation can help him to determine the x, amount of pencils he can buy and the y, amount of pens he can buy?

• 0.25x + 0.10y = 50

• 0.25x - 0.10y = 50

• 0.10x + 0.25y = 50

• 0.10x - 0.25y = 50

A football team scored a total of 60 points in one game.  They scored 18 times.  The scoring was made up of touchdowns (6 points), PATs (1 point), and field goals (3 points).  They had five more touchdowns than field goals.  If x represents touchdowns, y represents points after touchdowns (PATs), and z represents field goals, write a system of equations that can be used to determine how many of each score the team obtained?

Jade invited a new game. Each color marble is worth a different point value. Drew collected 5 green marbles, 2 blue marbles and 1 red marble and scored a total of 175. Sam collected 6 red green marbles and 10 red marbles and scored 310 points. The red marbles are worth five more than twice the green marbles. Who won the game?

• Drew. He had the lowest score.

• Sam. He had the most marbles.

• Jade. She created the game. She always wins.

• Where do you buy marbles?

Person A buys 4 sweaters, 5 shirts, and 6 pairs of pants for $387. Person B buys 7 sweaters and 8 pairs of pants for $215. Person C buys 9 shirts and 1 pair of pants for $92. If x represents sweaters, y represents shirts, and z represents pants, write an equation that can be used to represent what Person C purchased? 

Mathematical Equivalence

ON

In triangle ABC, the measure of angle B is 2° more than three times the measure of angle A. The measure of angle C is 8° more than the measure of angle A. What is the measure of angle C?

(a)  

Tags

CCSS.8.G.A.5

Dennis currently has 542 feet of PVC pipe at his shop. Every piece of white PVC is 20 feet and gray PVC is 22 feet.

If this situation is modeled with the equation 20x + 22y = 542 , what is y representing?

• price of white pipe

• price of gray pipe

• number of white pipe pieces

• number of gray pipe pieces

Madison bought some blue and green pens for $10.20 in total. If the cost of one blue pen is $0.80 and one green pen is $0.60, and she bought 3 more green pens than blue pens, how many BLUE pens did she buy?

• A) 6

• B) 5

• C) 8

• D) 9

Anthony is raising money for a school trip by selling candy bars and bags of chips. The price of each candy bar is $1.75 and the price of each bag of chips is $2. Yesterday Anthony made $59.25 and sold 6 more candy bars than bags of chips.

Define the variables that you use to write the system.

Choose two answers.

• let x = the number of candy bars sold

• let y = the number of bags of chips sold

• let x = the cost of a candy bar

• let y = the cost of a bag of chips

Rob has $105 of 8 bills in his pocket. All the bills are fives, tens, and twenties. If the number of twenty dollar bills equals the combined number of fives and tens, how many twenty dollar bills does Rob have in his pocket?

(a)  

What does the question mark equal?

• 35

• 65

• 55

• 20

Tags

CCSS.3.OA.D.8