HA: Systems of Equations & Inequalities

A system of equations can have one, no, or infinitely many solutions?

• True.

• False.

Tags

CCSS.8.EE.C.8B

If a system of equations has no solutions, the lines of the system are:

• the same line

• parallel lines

• horizontal and vertical lines

• both lines have a negative slope

Tags

CCSS.8.EE.C.8A

A system of inequalities will always have at least one solution.

• True.

• False.

Tags

CCSS.8.EE.C.8B

Which inequality signs require a solid line when graphing?

• $<\ and\ >$

• $\le\ and\ \ge$

Tags

CCSS.HSA.REI.D.12

The local preschool has 16 cycles. Some are bicycles and some are tricycles. Altogether there are 42 tires. How many of each cycle are there?

Let x = bicycle, Let y = tricycle.

• (5, 11)

• (4, 12)

• (6, 10)

• (7, 9)

Tags

CCSS.8.EE.C.8C

There are two orders for tacos and burritos: (1) 3 tacos and 3 burritos for $11.25 and (2) 4 tacos and 2 burritos for $10. How much does one taco cost?

• $2.00

• $1.50

• $2.50

• $1.25

Tags

CCSS.8.EE.C.8C

Alice bought 7 pairs of shoes for a total of $131. Sneakers cost $28 each and slides cost $15 each. How many pairs of slides did she buy? Type the numerical answer only.

(a)  

Tags

CCSS.7.EE.B.4A

Choose all possible solutions for the system from the given choices.

• (0, -1)

• (1, 2)

• (3, 5)

• (-2, 1)

• (4, -5)

Tags

CCSS.HSA.REI.D.12

How many solutions does this system have?

• infinitely many

• one

• none

• can not be determined

Tags

CCSS.HSA.REI.D.12

Identify the two lines that create this system of inequalities.

• $y>2x+6$

• $y\ge2x+6$

• $y\le2x-4$

• $y<2x-4$

Tags

CCSS.HSA.REI.D.12