Writing Systems of Equations

Front

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

Back

x + y = 15
4x + 2y = 44

Tags

CCSS.HSA.CED.A.3

Front

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

Back

x + y = 33
x = 2y - 3

Tags

CCSS.HSA.CED.A.3

Front

Nancy went to the grocery store. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

Back

4x + 6y = 13, 3x + 7y = 13.5

Tags

CCSS.HSA.CED.A.3

Front

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold? Options: S + A = 530
3S + 4A = 1740, S + A = 530
4S + 3A = 1740, S + A = 1740
3S + 4A = 530, S + A = 1740
4S + 3A = 530

Back

S + A = 530
3S + 4A = 1740

Tags

CCSS.HSA.CED.A.3

Front

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

Back

t + n = 54

t = 3n + 8

Tags

CCSS.HSA.CED.A.3

Front

Caitlin has 49 bills totaling $1430, consisting of twenty and fifty dollar bills. Which system of equations represents this situation?

Back

x + y = 49, 20x + 50y = 1430

Tags

CCSS.HSA.CED.A.3

Front

Cost of 5 squash and 2 zucchini is $1.32. Cost of 3 squash and 1 zucchini is $0.75. Write a system of equations.

Back

5q + 2z = 1.32
3q + 1z = 0.75

Tags

CCSS.HSA.CED.A.3

Front

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation? Options: x+y=134
x+y=120, 3x+3y=134
4x+3y=120, 4x+3y=134
3x+3y=120, 7xy=134
6xy=120

Back

4x+3y=134
3x+3y=120

Tags

CCSS.HSA.CED.A.3

Front

Solution to the system: Options: (3,1), (1,3), (-1,3), (1, -3)

Back

(1,3)

Tags

CCSS.8.EE.C.8B

Front

A ________________ is a set of two or more equations that have the same variables.

Back

system of equations

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6