Quiz about Algebra I Final Review

Question 1

Plug 9 in for x in f(x) = -x - 3

Accepted Answer

-12

Answer

6

Answer

-6

Answer

12

Question 2

Write an equation of the line passing through the points (4,7) and (5,-2).

Accepted Answer

y = -9x + 43

Answer

y = 9x  - 43

Answer

y = -9x + 3

Answer

y = -9x + b

Question 3

Write the equation of a line in point-slope form that passes through the point (-4,5) with a slope of -5/2.

Accepted Answer

y - 5 = -5/2(x+4)

Answer

y + 5 = 5/2(x-4)

Answer

y - 5 = 5/2(x - 4)

Answer

y - 5 = -5/2(x - 4)

Question 4

What is the slope of a line parallel to a line whose slope is m = 2/5?

Accepted Answer

2/5

Answer

-5/2

Answer

-2/5

Answer

5/2

Question 5

Which ordered pair is a solution of the system of equations? (solve by substitution)
y = 3x - 3
y = 5x - 7

Accepted Answer

(2,3)

Answer

(0,1)

Answer

(1,2)

Answer

(2,7)

Question 6

Solve: (Elimination)
2x - y = 13
3x + y = 2

Accepted Answer

(3, -7)

Answer

(-19, -3)

Answer

(5, -3)

Answer

(9, 5)

Question 7

Figure out what n equals in this equation:
6n + 4 = -26

Accepted Answer

n= -5

Answer

n=-6

Answer

n= 8

Answer

n= -4

Question 8

-11 + 3(b + 5) = 7

Accepted Answer

1

Answer

-1

Answer

3

Answer

-3

Question 9

What is the y-intercept in the equation y= -2x + 5

Accepted Answer

5

Answer

-2

Answer

3

Answer

Cannot be Determined

Question 10

Solve:

y = -1x - 5

4x - 8y = 4

Accepted Answer

(-3, -2)

Answer

(5, -7)

Answer

(3, 9)

Answer

(-5, 4)

Question 11

Simplify the exponential expression.

Accepted Answer

8x6y12

Answer

2x6y12

Answer

2x5y7

Answer

8x5y7

Question 12

Question 12.

Accepted Answer

b6/2a2

Answer

2a2b6

Answer

1/2a2b6

Answer

2b6/a2

Question 13

Question 13.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 14

Factor Completely.
8x³ - 18x

Accepted Answer

2x(2x+3)(2x-3)

Answer

2x(4x2-9)

Answer

(4x²+3)(2x-3)

Answer

PRIME

Question 15

Factor
r² -16r + 60

Accepted Answer

(r - 6)(r - 10)

Answer

(r - 15)(r + 4)

Answer

(r - 6)(r + 10)

Answer

(r +30)(r - 2)

Question 16

x2 - 16

Accepted Answer

( x - 4) ( x + 4)

Answer

Prime

Answer

( x - 8) ( x + 8)

Answer

( x - 4) ( x - 4)

Question 17

Solve the equation:
5x² - 35x + 60 = 0

Accepted Answer

x = 3,  4

Answer

x = 3,  -4

Answer

x = -3,  4

Answer

x = -3,  -4

Question 18

Solve for x: -4|x + 5| + 2 = -126

Accepted Answer

x = 27 or x = -37

Answer

x = -27 or x = 37

Answer

x = 123 or x = -133

Answer

No Solution

Question 19

Solve:
3x + 2 < -7 or -4x + 5 < 1

Accepted Answer

x < -3 or x > 1

Answer

x < -3 and x < 1

Answer

x < -3 and x > 1

Answer

x < -3 or x < 1

Question 20

Question 20.

Accepted Answer

a >1/2 or a < -3/2

Answer

No Solution

Answer

a > -1/6 or a < -5/6

Answer

a > 6 or a < -6

Question 21

Factor
3v² - 4v - 7

Accepted Answer

(3v-7)(v+1)

Answer

3(v-7)(v-1)

Answer

(3v+1)(v-9)

Answer

(3v+1)(v-10)

Question 22

factor completely
81m² - 1

Accepted Answer

(9m-1)(9m+1)

Answer

not factorable

Answer

(m-9)(m+9)

Answer

9m(9m-1)

Question 23

Factor Completely:
x² - 36

Accepted Answer

(x + 6)(x - 6)

Answer

(x + 9)(x - 4)

Answer

(x - 6)(x - 6)

Answer

(x - 9)(x + 4)

Question 24

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

Accepted Answer

3(x + 5)(x + 1)

Answer

3(x² + 6x + 5)

Answer

(x + 5)(x + 1)

Answer

Prime

Question 25

Factor:

2n²-8n³

Accepted Answer

-2n²(4n²-1)

Answer

2n²(n-4n²)

Answer

2n³(10-8n²)

Answer

3n(1-4n)

Question 26

Solve 2x² + 7x - 15 = 0

Accepted Answer

-5 or 1.5

Answer

-1.5 or 5

Answer

No Solution

Answer

0.7 or 5

Question 27

Solve using the quadratic formula.
2x² - 9x - 35 = 0

Accepted Answer

x = -5/2, x = 7

Answer

x = 7/2, x = -6

Answer

x = -5/2, x =5

Answer

x = -3/7, x =6

Question 28

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

Accepted Answer

x = -1 and x = -3

Answer

x = 1 and x = 3

Answer

x = 6 and x = -2

Question 29

Solve:
8x + 4y = 12
y = -2x + 3

Accepted Answer

Infinitely many solutions

Answer

(0,3)

Answer

(3,0)

Answer

No solution(parallel lines)

Question 30

4x - 2y = 7
x + 2y = 3
What are x and y?

Accepted Answer

x = 2, y = 1/2

Answer

x = 2, y = 2

Answer

x = 1/2, y = 2

Answer

x = 2, y = -2

Question 31

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

Accepted Answer

3s + 1c = 38
3s + 2c = 52

Answer

1s + 3c = 38
2s + 3c = 52

Answer

s + c = 38
s + c = 52

Answer

3s + 3c = 38
1s + 2c = 52

Question 32

Josh is thinking of two numbers.  Their sum is -10 and their difference is -2.  Which system of equations represents the situation?

Accepted Answer

x + y = -10
x - y = -2

Answer

x - y = -10
x + y = -2

Answer

x = -2
y = 5

Answer

x + y = -2
x - y = -10

Question 33

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

Accepted Answer

10c + 5d = 16.50
5c + 10d = 14.25

Answer

10c + 5d = 14.25
5c + 10d = 16.50

Answer

c + d = 10
5c + 10d = 16.50

Answer

c + d = 5
5c + 10d = 16.50

Question 34

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

Accepted Answer

$10

Answer

$5

Answer

$15

Answer

$20

Question 35

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

Accepted Answer

Sugar Cookies $4
Oatmeal Cookies $8

Answer

Sugar Cookies $5
Oatmeal Cookies $3

Answer

Sugar Cookies $2
Oatmeal Cookies $6

Answer

Sugar Cookies $3
Oatmeal Cookies $6

Question 36

Which of the following is not a solution to this system of inequalities?

Accepted Answer

(0,-1)

Answer

(0,3)

Answer

(4,0)

Answer

(6,-2)

Question 37

Simplify: (2x⁴y⁵)(-3x²y⁷)

Accepted Answer

-6x⁶y¹²

Answer

6x6y12

Answer

-1x6y-2

Answer

-6x2y2

Question 38

Evaluate the expression using the quotient rule.

Accepted Answer

22 z7

Answer

2¹⁴ z¹³

Answer

22/z7

Answer

2¹⁴/ z⁷

Question 39

Question 39.

Accepted Answer

a2b7

Answer

a8b13

Answer

a¹⁵b³⁰

Question 40

Simplify: (3x²)³

Accepted Answer

27x6

Answer

9x6

Answer

3x6

Answer

9x5

Question 41

(3x² + 6x - 1) + (4x² + 5x + 9)

Accepted Answer

7x² + 11x + 8

Answer

-x² + x - 10

Answer

x² - x + 10

Answer

7x² + 11x + 10

Question 42

(3x² + 4x - 2) - (5x + 7)

Accepted Answer

3x² - x - 9

Answer

2x2 - 9

Answer

3x² + 9x - 5

Answer

3x² - x + 5

Question 43

Question 43.

Accepted Answer

6x2+16x+8

Answer

5x2+16x+8

Answer

6x2+12x+8

Answer

6x2+16x+6

Question 44

Question 44.

Accepted Answer

12x²+41x+24

Answer

7x²+41x+24

Answer

12x²+32x+24

Answer

12x²+41x+16

Question 45

Simplify: (x + 1) (x²- 2x + 1)

Accepted Answer

x³- x²-x + 1

Answer

x³- 2x + 2

Answer

x³+ x²+ x + 1

Answer

x³- 3x²- 3x + 1

Question 46

Expand: (3y + 2)²

Accepted Answer

9y²+ 12y + 4

Answer

3y² + 6y + 4

Answer

9y²+ 6y + 4

Answer

9y2 + 4

Question 47

What is the graph of this function: y = x²- 4x

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 48

What is the graph of y = -3x² + 12x - 16

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 49

A function has a discriminant of 25.
______________
How many solutions does it have?

Accepted Answer

2

Answer

0

Answer

1

Answer

5

Question 50

If the discriminant is positive, then the solution will be

Accepted Answer

two real solutions

Answer

one real solution

Answer

no real solutions

Answer

one imaginary solution

Question 51

A function has a discriminant of -3.
______________
How many x-intercepts does it have?

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Question 52

.How many roots does this parabola have?

Accepted Answer

2

Answer

3

Answer

0

Answer

1

Question 53

If the graph of a quadratic does not intercept the x axis at any point, then it has:

Accepted Answer

No Real Solution

Answer

1 Real Solution

Answer

2 Real Solutions

Answer

Half a Solution

Question 54

How many solutions does this graph have?

Accepted Answer

no solutions

Answer

one

Answer

two

Answer

cannot be determined

Question 55

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

Accepted Answer

No Real Solution

Answer

1 Real Solution

Answer

2 Real Solutions

Answer

Half a Solution

Question 56

Which letter determines if a parabola opens up or down?

Accepted Answer

a

Answer

h

Answer

k

Question 57

Which graph is generated by this equation?

y=x²+2x+1

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Algebra I Final Review

61 questions

Plug 9 in for x in f(x) = -x - 3

Write an equation of the line passing through the points (4,7) and (5,-2).

Write the equation of a line in point-slope form that passes through the point (-4,5) with a slope of -5/2.

What is the slope of a line parallel to a line whose slope is m = 2/5?

Which ordered pair is a solution of the system of equations? (solve by substitution)
y = 3x - 3
y = 5x - 7

Solve: (Elimination)
2x - y = 13
3x + y = 2

Figure out what n equals in this equation:
6n + 4 = -26

-11 + 3(b + 5) = 7

What is the y-intercept in the equation y= -2x + 5

Solve:
y = -1x - 5
4x - 8y = 4

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Algebra I Final Review

61 questions

Plug 9 in for x in f(x) = -x - 3

Write an equation of the line passing through the points (4,7) and (5,-2).

Write the equation of a line in point-slope form that passes through the point (-4,5) with a slope of -5/2.

What is the slope of a line parallel to a line whose slope is m = 2/5?

Which ordered pair is a solution of the system of equations? (solve by substitution)y = 3x - 3y = 5x - 7

Solve: (Elimination)2x - y = 133x + y = 2

Figure out what n equals in this equation:6n + 4 = -26

-11 + 3(b + 5) = 7

What is the y-intercept in the equation y= -2x + 5

Solve:y = -1x - 54x - 8y = 4

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Which ordered pair is a solution of the system of equations? (solve by substitution)
y = 3x - 3
y = 5x - 7

Solve: (Elimination)
2x - y = 13
3x + y = 2

Figure out what n equals in this equation:
6n + 4 = -26

Solve:
y = -1x - 5
4x - 8y = 4