Free Printable Honors Algebra 1 Semester Review

1.

x+2<-4 or -5x<-15

a)

-6<x<3

b)

x<-3 and x>6

c)

x<-6 or x>3

d)

No Solution

2.

What is the equation of the line that goes through (3,4) and (9,-2)? Use point-slope formula.

a)

y + 2 = 1(x - 9)

b)

y + 2 = -1(x - 3)

c)

y - 4 = 1(x - 3)

d)

y - 4 = -1(x - 3)

3.

Determine the slope and y-intercept from the following equation: 4x + y = -10

a)

slope: 4 y-intercept: (0,10)

b)

slope: -4 y-intercept: (0,-10)

c)

slope: -4 y-intercept: (0,10)

d)

slope: 4 y-intercept: (0,-10)

4.

Write an inequality for the graph shown.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

5.

What is the degree of the given monomial.
4x³y²z²

a)

degree 3

b)

degree 7

c)

degree 12

d)

degree 13

6.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

7.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

8.

Which point is not a solution?

a)

(1, 3)

b)

(-1, 2)

c)

(3, -2)

d)

(5, 0)

9.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

10.

Find the Domain

a)

All Real Numbers

b)

All Real Numbers smaller than 4

c)

-4 < x < 4

d)

-4 ≤ x ≤ 4

11.

Is this a function?

a)

Yes

b)

No

12.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

13.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

14.

Find the range

a)

All Real Numbers

b)

All Real Numbers smaller than 4

c)

-4 < x < 4

d)

-4 ≤ x ≤ 4

15.

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

a)

2/11

b)

13/2

c)

3/10

d)

11/2

16.

What is the equation of a VERTICAL line that goes through (2,3)?

a)

x=2

b)

x=3

c)

y=2x + 3

d)

y = 3x + 2

17.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

18.

What is the equation of a line passing through (2, -1) and parallel to the line represented by the equation y = 2x + 1?

a)

y = -1/2x

b)

y = -1/2x + 1

c)

y = 2x - 5

d)

y = 2x - 1

19.

What is the equation of a line that is perpendicular to the line y = 3x - 6 and passes through the point (15,5).

a)

y = -3x + 10

b)

y= 1/3x +10

c)

y = -1/3x +10

d)

y = 3x -15

20.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

21.

Solve:
|3x+9|<6

a)

x<-1

b)

-1<x<5

c)

x<5

d)

-5<x<-1

22.

Solve:
|4x-8|≥12

a)

x≥5

b)

x≥5 or x≤-1

c)

x≤-1

d)

x≥1 or x≤-5

23.

|v + 8| + 5 = 2

a)

{-11,-15}

b)

{-1,-5}

c)

{-11,11}

d)

No Solution

24.

a)

A

b)

B

c)

C

d)

D

25.

Give the slope and y-intercept
6x - 3y = -9

a)

slope is 6
y-intercept is 9

b)

m=2
b=3

c)

slope is 2
y-intercept is -3

d)

m = 3
b = 2

26.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

27.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

28.

Solve for x and y
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

29.

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

30.

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

31.

Simplify each expression.
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

a)

11x⁴ + 2x² + 14x

b)

16x⁴ + x² + 14x

c)

11x⁴ + x² + 14x

d)

11x⁴ + 2x² + 10x

32.

Simplify.
(3x - 5) ( 4x² - 2x - 3)

a)

12x³ - 26x² - 25x + 15

b)

12x³ - 20x² - 5x + 15

c)

12x³ - 20x² - 6x + 15

d)

12x³ - 26x² + x + 15

33.

Simplify
(p − 8)²

a)

p ² − 16p − 64

b)

p ² + 16p + 64

c)

p ² − 16p − 8

d)

p ² − 16p + 64

34.

Divide.

a)

(x + 4)/(x + 3)

b)

x + 5

c)

x + 4 + (5/x + 3)

d)

x + 4 - (5/x + 3)

35.

Divide
3x³ + 5x - 1 ÷
x + 1

a)

3x³ - 3x² + 8x - 9

b)

3x² - 3x + 8 - 9/x+1

c)

3x² + 3x + 8 + 7/x+1

d)

3x³ + 3x² + 8x + 7

36.

Divide.
x³-13x+12 ÷ x+4

a)

x²-4x+3

b)

x²+9x+3

c)

x²+4x+9

d)

x²+18x+3

37.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

38.

Solve using the Product of Powers. (3c²)(10c⁷)

a)

13c⁹

b)

30c⁵

c)

30c⁹

d)

-30c⁹

39.

Solve using the Product of Powers.
(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

40.

Solve:
C = xv + x , for v

a)

(C-x)/x = v

b)

(C+x)/x = v

c)

(-C-x)/x = v

d)

(Cx)/x = v

41.

a)

(A-P) / (PT) = R

b)

(A+P) / (PT) = R

c)

(AP) / (PT) = R

d)

(TP) / (AP) = R

42.

f(x)=x²-2x+1
Evaluate the function for f(-1).

a)

f(-1)=4

b)

f(-1)=0

c)

f(-1)=2

d)

f(-1)=-1

43.

The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3.
Solve:
x + y = 55
x - y = 3

a)

(26, 23)

b)

(26, 29)

c)

(29, 26)

d)

(29, 32)

44.

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?

a)

Sugar Cookies $5
Oatmeal Cookies $3

b)

Sugar Cookies $4
Oatmeal Cookies $8

c)

Sugar Cookies $2
Oatmeal Cookies $6

d)

Sugar Cookies $3
Oatmeal Cookies $6

45.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

(35, 52)

b)

(18, 69)

c)

( 52, 35)

d)

(61, 26)

46.

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

a)

x + y = 33
y = 2x - 3

b)

x + y = 33
x = 2y - 3

c)

x + y = 33
x = 3 - 2y

d)

x + y = 3
x = 33 - 2y

47.

Solve for the system of equations using substitution.
$y\ =\ 2x-3$
$-2x+y=1$

a)

No solution

b)

(1, -1)

c)

(-1, -5)

d)

Infinitely many solutions

48.

Solve for the system of equations using substitution.
$4x\ +\ y\ =\ 8$
$x=5\ -\ y$

a)

(4, 1)

b)

(1, 4)

c)

(-2, 0)

d)

No solution.

49.

Identify the type of solution for the following system of equations.

a)

No solution.

b)

One solution.

c)

Infinitely many solutions.

d)

Two solutions.

50.

A sporting goods store sells left haded (x) and right handed (y) gloves. In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left handed gloves cost $52. Which system could be solved to determine the number of each type of glove sold?

a)

x + y = 561

45x + 52y = 12

b)

x + y = 12

52x + 45y = 561

c)

x + y = 12

45x + 52y = 561

d)

x + y = 561

52x + 45y = 12

51.

Solve the system of equations

5x + 6y = -10

3x - 2y = -6

a)

(-2, 0)

b)

(0, -2)

c)

(2, 0)

d)

(0, 2)

52.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

53.

Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.

a)

x + y ≥ 25
x + y ≤ 8

b)

100x + 25 y ≤ 100
2x + 8y ≤ 14

c)

x + y ≥ 100
8x + 25y ≤ 14

d)

8x + 25y ≥ 100
x + y ≤ 14

54.

Which inequality is graphed on the given coordinate plane?

a)

y > x + 1

b)

y < x + 1

c)

y ≥ -x + 1

d)

y ≤ -x + 1

55.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

56.

Which ordered pair(s) is a solution to the given system?

a)

(5, -5)

b)

(0,0)

c)

(-5, -2)

d)

(3,-3)

57.

^{Which point is a solution to the system of inequalities?}

a)

(-8,2)

b)

(-2,-5)

c)

(0,6)

d)

(4, 3)

58.

(x − 3)(6x − 2)

a)

6x² − 20x + 6

b)

6x² + 20x - 6

c)

6x² +6

d)

6x + 6

59.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

60.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

61.

$\frac{18y^{6\ }+9y^{4\ }-12y^2}{3y^2}$

a)

$6y^2\ +3y^2\ -4y^2$

b)

$15y^{4\ }+6y^2\ -\ 9$

c)

$6y^{4\ }+3y^2-4$

d)

$6y^{3\ }-3y^2\ +4y$

62.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

63.

Find the slope of a line that passes through each set of points. REDUCE ALL FRACTIONS.

(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

64.

Find the slope of a line that passes through each set of points. REDUCE ALL FRACTIONS.

(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

65.

Two functions are given:

$h\left(x\right)=4x+3$

$g\left(x\right)=x^3-4$

Find $h\left(x\right)\cdot g\left(x\right)$ .

a)

$x^4+2x^3-5x-10$

b)

$4x^4+3x^3-16x-12$

c)

$4x^4-3x^3+16x-12$

d)

$x^4+5x^3+5x^2+25x$

66.

Two functions are given:

$f\left(x\right)=3x-1$

$g\left(x\right)=x^3+5x^2$

Find $f\left(x\right)\cdot g\left(x\right)$ .

a)

$3x^4-14x^3-5x^2$

b)

$x^4-5x^3+5x^2-25x$

c)

$3x^4+14x^3-5x^2$

d)

$9x^3+12x^2-12x$

67.

Which term is missing in this problem?
2x³ + 5x² + 9 ÷
x + 3

a)

x⁴

b)

x³

c)

x²

d)

x

68.

For synthetic division, what would be the number in the left hand box?

a)

0

b)

1

c)

2

d)

3

69.

Use Synthetic Division $\left(x^3-5x+6\right)\div\left(x-5\right)$

a)

$x^3+6$

b)

$x^2+5x-30+\frac{156}{x-5}$

c)

$x^2+5x+20+\frac{106}{x-5}$

d)

$x^2+6$

70.

(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

Honors Algebra 1 Semester Review

Total questions: 70

Worksheet time: 7hrs 59mins

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