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Lesson 13 & 14 Test Review

Authored by Melissa Pyle

Mathematics

8th Grade

CCSS covered

Used 9+ times

Lesson 13 & 14 Test Review
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12 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the system of equations? Type your answer as an ordered pair (x , y).

4x + y = 1 4x\ +\ y\ =\ 1\

8x − 3y = 128x\ -\ 3y\ =\ 12

(34 , 2)\left(\frac{3}{4}\ ,\ 2\right)

(34 , −2)\left(\frac{3}{4}\ ,\ -2\right)

(2 , 34)\left(2\ ,\ \frac{3}{4}\right)

(−2 , 34)\left(-2\ ,\ \frac{3}{4}\right)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Maddox starts hiking from the main entrance to a trail. Penny starts her hike from the same entrance a little while later. The equations below represent the distance, d, in yards that each person is from the entrance of the trail m minutes after Penny starts hiking from the entrance.

Maddox: d = 40m + 200d\ =\ 40m\ +\ 200

Penny: d = 50md\ =\ 50m

Penny will be able to catch up to Maddox 20 minutes after Penny starts hiking on the trail.

Penny will be able to catch up to Maddox when they are both 500 yards from the entrance to the trail.

Penny will not be able to catch up to Maddox because Maddox started hiking 10 minutes earlier than Penny.

Penny will not be able to catch up to Maddox because Maddox was 200 yards ahead of Penny when she started hiking.

Tags

CCSS.8.EE.C.8C

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A system of equations is shown below. What statement is TRUE about the relationship between the value of k and the number of solutions for the system of equations? Hint: Plug in 21 for k and put both equations in slope-intercept form (y = mx + b)\left(y\ =\ mx\ +\ b\right) .

3x − 2y = 73x\ -\ 2y\ =\ 7

9x − 6y = k9x\ -\ 6y\ =\ k

For any value of k, the system of equations has no solution.

For any value of k, the system of equations has infinitely many solutions.

If k is equal to any value other than 21, the system of equations has no solution.

If k is equal to any value other than 21, the system of equations has infinitely many solutions.

Tags

CCSS.8.EE.C.8B

4.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

A system of linear equations is given below. Does it take fewer steps to determine the solution to the system of equations using elimination or substitution? What is the solution? (Select 2 answer options).

5x − 2y = 165x\ -\ 2y\ =\ 16

5x + 2y = 45x\ +\ 2y\ =\ 4

Elimination would take fewer steps because you can add the equations to eliminate the y-terms and then you can divide both sides by 10 to find the value of x.

The system of linear equations has exactly one solution, with a y-value of -3.

Substitution would take fewer steps because you can change either equation to set it equal to y and then you can substitute the expression for y into the other equation.

The system of linear equations has no solution.

Tags

CCSS.8.EE.C.8B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The student council sold tickets to the school dance for $8 each during lunch and $10 each at the door. The student council brought in a total of $1,820 from the 198 tickets that they sold to the dance. The system of equations below represents this situation.

x + y = 198x\ +\ y\ =\ 198

8x + 10y = 18208x\ +\ 10y\ =\ 1820

What does the term 8x8x represent in the system of equations?

the total number of tickets sold

the total number of tickets sold at lunch

the cost of each of the tickets sold at lunch

the total amount of money brought in from tickets sold at lunch

Tags

CCSS.8.EE.C.8C

6.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Seo-jun has 32 coins in his pocket. The coins consist of only nickels and quarters. The total value of the coins is $4.00.

Which system of equations represents this situation? How many of each type of coin does Seo-jun have in his pocket? (Select 2 answer options).

n + q = 32n\ +\ q\ =\ 32

0.05n + 0.25q = 40.05n\ +\ 0.25q\ =\ 4

Seo-jun has 20 nickels and 12 quarters in his pocket.

n + q = 4n\ +\ q\ =\ 4 5n + 25q = 325n\ +\ 25q\ =\ 32

Seo-jun has 16 nickels and 16 quarters in his pocket.

Tags

CCSS.8.EE.C.8C

7.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Gina paid $54 for a total of 15 bags of treats for the cats and dogs at the shelter. She paid $3 for each bag of cat treats and $4 for each bag of dog treats. Which statements are TRUE. (Select 2 answer options).

Gina spent $36 on dog treats.

Gina bough 12 bags of cat treats.

Gina bought more bags of cat treats than dog treats.

The equation 3x + 4y = 543x\ +\ 4y\ =\ 54 can be used as part of a system of equations to model this situation if x represents the number of bags of cat treats and y represents the number of bags of dog treats that Gina bought.

Tags

CCSS.8.EE.C.8C

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