Student Work 11/16 Unit 4 Review

When graphing systems of equations and inequalities, what symbol(s) use a dashed line? (Check all that apply)

• <

• >

• =

• ≥

• ≤

Tags

CCSS.HSA.REI.D.12

When graphing systems of equations and inequalities, what symbol(s) use a solid line? (Check all that apply)

• <

• >

• =

• ≥

• ≤

Tags

CCSS.HSA.REI.D.12

Which graph best represents this system of equations and its solution?

-x+y=2

-3x+y=6

• 
• 
• 
• 

Tags

CCSS.8.EE.C.8B

A system of equations is shown below.

3x + 2y = 12

y = x + 1

Which ordered pair below represents the solution to this system of equations?

• (1.25, 2.25)

• (2,3)

• (2.2, 3.2)

• (3,2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Ken and Leonard are brothers who live in the same house. Ken is ready first, so he leaves the house and starts biking to school at an average speed of 16 km per hour. Half an hour later, Leonard leaves the house in his car and follows the same route, traveling at an average speed of 56 km per hour. How many minutes will it take Leonard to catch up with Ken, starting from when Leonard leaves the house?

• 11 minutes

• 12 minutes

• 17 minutes

• 20 minutes

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Consider the system of equations 5x + y = 9 and 4x − y = 18. What is the value of the x-coordinate of its solution?

• -9

• -3

• 3

• 9

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Kyle bought 1 jump rope and 5 boxes of sidewalk chalk for $18.75. Rhea bought 2 jump ropes and 3 boxes of sidewalk chalk for $13. The equations below represent Kyle's and Rhea's purchases.

r + 5c = 18.75

&

2r + 3c = 13

What are the prices of 1 jump rope and 1 box of sidewalk chalk?

• jump rope = $1.25, chalk = $4.00

• jump rope = $1.25, chalk =$3.50

• jump rope =$3.50 , chalk = $1.75

• jump rope = $4.00, chalk =$1.25

Tags

CCSS.8.EE.C.8C

• y = 3x - 3 & y = -2x + 7

• y = 2x - 3 & y = -3x + 7

• y = 2x + 3 & y = -3x + 3.5

• y = 7x + 3.5 & y = x - 3

Tags

CCSS.8.EE.C.8B

Rodrigo and Melissa went to the art supply store to buy drawing materials. Rodrigo bought 10 pencils and 7 felt-tip markers for a total of $19.00. Melissa bought 3 pencils and 5 felt-tip markers for a total of $10.05. Which of the following systems of equations could be used to determine the cost of one pencil, p, and one felt-tip marker, m?

• 17p + 8m = 29.05 & p + m = 11

• 10p + 7m = 19.00 & 3p + 5m = 10.05

• 10p + 3m = 19.00 & 7p + 5m = 10.05

• 10p + 7m = 10.05 & 3p + 5m = 19.00

Tags

CCSS.8.EE.C.8C

Emma is having a slumber party for 12 of her friends. The menu includes hot wings and hamburgers. Wings will cost $.45 per wing and each complete hamburger will cost $1.75. If Emma can spend at most $90 at the grocery store, write the linear inequality in standard form that will represent this situation if x= number of wingsand y = the number of hamburgers.

• 12(0.45 x + 1.75 y ) ≤ 90

• 0.45 x + 1.75 y ≤ 90

• (0.45 x + 1.75 y)/12 ≤ 90

• 0.45 x + 1.75 y ≥ 90

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3