Quiz about Algebra I Final Exam

Question 1

What is the solution to the system of linear equations?

Accepted Answer

infinite solutions

Answer

(0, 0)

Answer

(0, 2)

Answer

no solutions

Question 2

Two systems of linear equations in two variables, x and y, are shown. System 1: x + 2y = 8, 3x + 4y = 22 System 2: ax + 5y = 17, 5x + by = 37 The two systems have the same solution. What are the values of a and b?

Accepted Answer

a = 2, b = 7

Answer

a = -2, b = -7

Answer

a = 3, b = 5

Answer

a = 4, b = 6

Question 3

The graph of a system of linear equations is shown. [Graph of two intersecting lines on a coordinate plane] What is the solution to the system of linear equations?

Accepted Answer

x = -3, y = -1

Answer

x = 2, y = 1

Answer

x = 3, y = 1

Answer

x = 0, y = 0

Question 4

A system of linear equations is shown. y = -2x + 3 2y = -4x + 6 What is a solution to the system of linear equations?

Accepted Answer

infinite solutions

Answer

(3, 0)

Answer

(1.5, 1.5)

Answer

no solutions

Question 5

A system of linear equations is shown. 0.75s + 1.25t = 40 s + t = 34 What is the solution to the system?

Accepted Answer

s = 5, t = 29

Answer

s = 16, t = 18

Answer

s = 20, t = 14

Answer

s = -5, t = -29

Question 6

A teacher wrote a system of equations on the board in his classroom. {4y - 2x = 24 & 10y + 4x = 78} He asks a student to multiply the first equation by 4 and subtract the second equation from it. This results in the new system of equations. {ay + bx = c & 10y + 4x = 78} What are the values of a, b, and c in the new system of equations?

Accepted Answer

a = 6 b = -12 c = 18

Answer

a = 8 b = -8 c = 24

Answer

a = 16 b = -2 c = 30

Answer

a = -6

b = -18

c = 12

Question 7

Multiply (8q - 3) and (4q + 7).

Accepted Answer

$$32q^2 + 44q - 21$$

Answer

$$32q^2 + 56q - 21$$

Answer

$$32q^2 + 44q + 21$$

Answer

$$32q^2 - 44q - 21$$

Question 8

An expression is shown. (5r + 6)(3r - 2) + (2r + 10) Enter an equivalent expression using the fewest number of terms possible.

Accepted Answer

$$15r^2+10r-2$$

Answer

$$15r^2 + 19r - 2$$

Answer

$$15r^2 + 8r + 8$$

Answer

$$15r^2 + 13r - 8$$

Question 9

A rectangle has a length of $$3x^4$$ and a width of $$5x - 4$$ . Which expression represents the area of the rectangle?

Accepted Answer

D. $$15x^5 - 12x^4$$

Answer

$$8x^5 - 4$$

Answer

B. $$8x^5 - 7x^4$$

Answer

C. $$15x^5 - 4$$

Question 10

Jeannie makes frames for different-size pictures. She adds a ribbon around the outside of each frame. Using w to represent the width of the picture, Jeannie uses the expression 2(w + 4) + 2(w + 2) to calculate the amount of ribbon she needs for each frame. Enter values to create an equivalent expression to calculate the amount of ribbon Jeannie needs.

Accepted Answer

4w + 12

Answer

2w + 6

Answer

4w + 6

Answer

2w + 12

Question 11

Select a box to indicate whether the set of coordinates {(4, 7), (5, 10), (6, 7), (7, 7)} is a function or is not a function of x.

Accepted Answer

Function

Answer

Not a Function

Question 12

Select a box to indicate whether the set of coordinates {(3, 3), (4, 3), (8, 2), (9, 10)} is a function or is not a function of x.

Accepted Answer

Function

Answer

Not a Function

Question 13

Select a box to indicate whether the set of coordinates {(3, 3), (3, 4), (4, 5), (5, 6)} is a function or is not a function of x.

Accepted Answer

Not a Function

Answer

Function

Question 14

Select a box to indicate whether the set of coordinates {(7, 7), (8, 7), (9, 9), (10, 1)} is a function or is not a function of x.

Accepted Answer

Function

Answer

Not a Function

Question 15

Vikram buys two sandwiches for s dollars each. He pays with a $10 bill. The cashier gives Vikram some money back as change. Create an expression to model the amount that Vikram got back from the cashier.

Accepted Answer

10 - 2s

Answer

10 + 2s

Answer

2s - 10

Answer

10s - 2

Question 16

An equation is shown. Nx + 17 = 42 What is the value of x in terms of N?

Accepted Answer

(42 - 17)/N or 25/N

Answer

(42 + 17)/N or 59/N

Answer

(42 - 17) * N or 25N

Answer

(42 + 17) * N or 59N

Question 17

Emma went to the store on Monday and Friday. - On Monday, she bought 8 ounces of almonds and 20 dollars of other food. - On Friday, she bought 40 ounces of almonds and 4 dollars of other food. - Emma spent more on Friday than she did on Monday. Let s be the cost per ounce, in dollars, of almonds. Create an inequality that models this situation.

Accepted Answer

40s + 4 > 8s + 20

Answer

8s + 20 > 40s + 4

Answer

40s + 4 < 8s + 20

Answer

8s + 4 > 40s + 20

Question 18

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.

Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

Accepted Answer

3x + 4y = 64

x + 8y = 68

Answer

4y = 3x + 64

8y = x + 68

Answer

4y = 3x + 64

8y = x + 60

Answer

3x + 4y = 64

x + 8y = 60

Question 19

Consider the quadratic equation $$x^2 - 5x + 6 = 0$$ . What are the roots of the equation?

Accepted Answer

x = 2, x = 3

Answer

x = -1, x = -6

Answer

x = 1, x = 6

Answer

x = -2, x = -3

Question 20

A rectangle has a length of $$2x + 3$$ and a width of $$x - 1$$ . Which expression represents the perimeter of the rectangle?

Accepted Answer

4x + 4

Answer

6x + 4

Answer

4x + 2

Answer

6x + 2

Algebra I Final Exam

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics