Free Printable Alg 1 Benchmark 2 Review

1.

7(1 - y) = -3(y - 2)

a)

x = 1/4

b)

x = 4

c)

x = 5

2.

2x - 3 + 4x = 27

a)

x= 12

b)

x = 4

c)

x = 5

d)

x = 15

3.

Solve the equation.

5n + 34 = −2(1− 7n)

a)

n = 0

b)

n = 4

c)

n =-3

d)

n = -1.9

e)

n = -4

4.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

5.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

6.

Solve the inequality.
- 3(9 + x) ≥ - 21

a)

x ≤ 2

b)

x ≥ 2

c)

x ≥ - 2

d)

x ≤ - 2

7.

4(2a + 3) < 3(a - 1)

a)

a < -3

b)

a > -3

c)

a < 3

d)

a > 3

8.

$Given\ d=rt,\ solve\ for\ r.\$

a)

$r=\frac{t}{d}$

b)

$t\ =\ \frac{d}{r}$

c)

$d=\frac{r}{t}$

d)

$r=\frac{d}{t}$

9.

Solve the formula for y. What is the 1st step?

a)

Subtract B from each side.

b)

Divide each side by Ax.

c)

Divide each side by B.

d)

Subtract Ax from each side.

10.

Solve the formula for m.
What is the 1st step?

a)

Subtract V from each side.

b)

Multiply each side by V.

c)

Divide each side by V.

d)

Multiply each side by m.

11.

Solve the formula for P. What is the 1st step?

a)

Divide wach side by Pt.

b)

Subtract rt from each side.

c)

Subtract pt from each side.

d)

Divide each side by rt.

12.

Solve the formula for t. What is the 1st step?

a)

Multiply each side by t.

b)

Subtract f from each side.

c)

Divide each side by t.

d)

Add s to each side.

13.

What is the slope of this graph?

(a)

14.

What is the slope of this graph?

(a)

15.

Which graph shows an undefined slope?

a)

b)

c)

d)

16.

Which graph or graphs show a positive slope?

a)

b)

c)

d)

e)

17.

What is the slope of this line?

(a)

18.

What is the slope of the line that goes through

$\left(2,\ -2\right)\ and\ \left(-1,\ 1\right)$ ?

(a)

19.

Determine the slope from the table.

a)

-2

b)

2

c)

-1/2

d)

1/2

20.

Determine the slope.

a)

-3

b)

3

c)

-1/3

d)

1/3

21.

The table below shows a linear relationship between x and y. What is the rate of change of y with respect to x?

(a)

22.

The table below shows a linear relationship between the average height of a diving platform and the amount of time, in seconds, it takes for the diver to break the surface of the water. What is the rate of change of the average time in seconds with respect to the height of the diving platform?

(a)

23.

What does the "b" stand for in y=mx+b?

a)

slope

b)

x-intercept

c)

y-intercept

24.

What is the equation for the line that passes through the points (4,2) and (0,6)?

a)

y = x + 6

b)

y = -2x + 2

c)

y = -x - 6

d)

y = -x + 6

25.

What is the y-intercept in the equation?
y = 5x - 4

a)

5

b)

-4

c)

-5

d)

4

26.

Find the equation of the line in slope-intercept form.

a)

y = - 1/4x - 3

b)

y = 1/3x + 3

c)

y = - 1/4x + 2

d)

y = 1/3x -3

27.

What is an equation for the line that passes through the coordinates (-1,2) and (7,6) ?

a)

y = (1/2)x + 2.5

b)

y = (1/2)x - 5

c)

y = 3x + 4

d)

y = -3x + 4

28.

The line with the equation

$y+1=-3(x-5)$ ,

and has a slope of (a)

Choose from the below words

$-3$

$3$

$1$

$-5$

29.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:

(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

30.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

31.

m= 3

(1, 7)

a)

y - 7 = 3( x - 1)

b)

y - 1 = 3( x - 7)

c)

y - 3 = 3( x - 1)

d)

y - 1 = 7( x - 3)

32.

Write in slope intercept form

a)

y=4x+18

b)

y=4x+22

c)

y=4x-18

d)

y=4x-22

33.

Write the equation in slope intercept form

a)

y=-2x-19

b)

y=-2x-17

c)

y=-2x+19

d)

y=-2x+17

34.

Write the equation in slope intercept form.

a)

y=6x+43

b)

y=6x+53

c)

y=6x-53

d)

y=6x-43

35.

a)

y=-4x-12

b)

y=4x+12

c)

y=-4x+12

d)

y=-4x+3

36.

a)

y=-3x+1

b)

y=3x+1

c)

y=1/3x+1

d)

y=-1/3x-1

37.

a)

y=-5x+5

b)

y=-x+5

c)

y=x+1

d)

y=-x+1

38.

a)

Function

b)

Not a Function

39.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

40.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

41.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

42.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

43.

Does this relation represent a function?
(1,5), (1,6), (1,7), (1,8), (1,9)

a)

Yes

b)

No

44.

You can identify a function from a graph by using the.....

a)

Horizontal Line Test

b)

Eye Test

c)

Vertical Line Test

d)

Diagonal Line Test

45.

$Given\ f\left(x\right)=\frac{1}{3}\left(x+6\right)\ what\ is\ f\left(-6\right)?$

a)

$\frac{2}{3}$

b)

$-8$

c)

$-6$

d)

0

46.

$Given\ f\left(x\right)=\frac{3}{2}x+5\ what\ is\ f\left(12\right)?$

a)

$\frac{43}{2}$

b)

$20$

c)

$23$

d)

$5$

47.

$Evaluate\ the\ function\ for\ f\left(-9\right)\ if\ f\left(x\right)=\frac{3}{5}x+8$

a)

$\frac{67}{5}$

b)

$-\frac{13}{5}$

c)

$-\frac{67}{5}$

d)

$\frac{13}{5}$

48.

$Given\ h\left(x\right)=3x^2-2x+8\ what\ is\ h\left(2\right)?$

a)

13

b)

8

c)

16

d)

answer not here

49.

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day.

For one day of work, what is the range of the function for this situation?

a)

$0\le x\le8$

b)

$80\le y\le440$

c)

$0\le x\le10$

d)

$45\le y\le685$

50.

A set of weights includes a 45 lb barbell and 6 pairs of weight plate. Each pair of plates weighs 20 lb. If x pairs of plate are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x)=20x+45.

What is the range of the function in this situation?

a)

{0, 1, 2, 3, 4, 5, 6,}

b)

{45, 65, 85, 105, 125, 145, 165}

c)

{0, 2, 4, 6}

d)

{45, 55, 65, 75,85,95}

51.

y varies directly with x. When y = 39, x = 3. Find the value of y when x = 2.

a)

26

b)

3

c)

58.5

d)

2

52.

In a direct variation, y = 39 when x = 3.
Find the value of y when x = 2.

a)

26

b)

3

c)

58.5

d)

2

53.

Suppose y varies directly as x. If y = -7 when x = -14, find x when y = 10.

a)

-5

b)

3

c)

9.8

d)

20

54.

What is the correlation for the following Scatter Plot.

a)

Weak Positive

b)

No Correlation

c)

Strong Negative

d)

Weak Negative

e)

Strong Positive

55.

Given the following Scatter Plot, select the option that is most likely the r value.

a)

$r=-.1$

b)

$r=-.981$

c)

$r=.92$

d)

$r=.765$

56.

If r=0, there is a strong correlation.

a)

True

b)

False

57.

r = -0.3 is considered to have...

a)

moderate negative correlation

b)

weak negative correlation

c)

no correlation

d)

strong negative correlation

58.

Causation or Association:

The hotter the temperature of the oven, the less time needed to cook a turkey.

a)

Causation

b)

Association

59.

Causation or Association:

The more water in a teapot, the hotter the tea.

a)

Causation

b)

Association

60.

Causation or Association:

The more money I spend on clothes, the less money I have to spend on food.

a)

Causation

b)

Association

61.

Causation or Association:

The more my dog barks outside, the less birds are in my yard.

a)

Causation

b)

Association

62.

Causation or Association:

The more dogs in a dog park, the less dogs at the Petsmart.

a)

Causation

b)

Association

63.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

64.

What is the solution to the system?

a)

(-1, 3)

b)

(-3, 1)

c)

(3, -1)

d)

(-3, -1)

65.

Will the solution (-3, -7) make the following system of equations a true statement?

y = 4x + 5

y = x – 4

a)

YES

b)

NO

66.

What is the solution to this system?

y = 2x + 1

y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

67.

Given that they graph represents a system of equations on a coordinate plane, how many solutions does the system have?

a)

no solution

b)

one solution

c)

two solutions

d)

infinitely many solutions

68.

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

69.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

a)

4x + 6y = 3
13.5x - 13y = 6

b)

x + y = 4
x - y = 6

c)

4x + 6y = 13
3x + 7y = 13.5

d)

4x - 6y = 13
3x - 7y = 13.5

70.

Solve:
x = -3y - 17
2x + 3y = -7

a)

(1, -20)

b)

(3, 0)

c)

(-5, -2)

d)

(10 , -9)

71.

An inequality using a > or a < has a ___________ line

a)

invisible

b)

solid

c)

dashed

72.

Is (3,-4) a solution to this system?

a)

yes

b)

no

73.

Pick the ordered pair that is NOT a solution

a)

(0,0)

b)

(1,-1)

c)

(2,0)

d)

(4,-4)

74.

Match the system to the graph (solution set is on the left)

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 3

d)

y > 3x and y < -2x + 4

75.

Given: y < 4x + 3

Would you draw a solid or dashed line?

a)

Solid

b)

Dashed

76.

Given: y < 4x + 3

Would shade above or below the line?

a)

Above

b)

Below

77.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

78.

Simplify

\left(3xy^2\right)^2\left(x^2y\right)^4\

a)

$\left|x^3\right|$

b)

$3x^{10}y^8$

c)

$3x^4y^4$

d)

$9x^{10}y^8$

e)

79.

Simplify the expression

$\left(\frac{3m^2n^7}{m}\right)^5$

a)

$81m^5n^{35}$

b)

$243n^{35}m^5$

c)

$243mn^{35}$

d)

$15m^7n^{12}$

80.

Any base (except 0) raised to the power of zero is what?!?

4 lines

81.

Simplify the following expression $\frac{-48c^2d^4}{-8cd}$

a)

$6cd^3$

b)

$-6cd^3$

c)

$6c^3d^5$

d)

1

82.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

83.

According to exponent rules, when we divide terms we (a) the exponents.

Choose from the below words

Subtract

Multiply

Divide

Add

84.

Multiply: $-4e^5\cdot2e^8$

a)

-8e⁴⁰

b)

-2e¹³

c)

-8e¹³

d)

-2e⁴⁰

85.

a)

2a⁴b⁴

b)

4a³b⁴

c)

4a⁸b⁵

d)

2a⁴b³

86.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

87.

(x − 3)(6x − 2)

a)

6x² − 20x + 6

b)

6x² + 20x - 6

c)

6x² +6

d)

6x + 6

88.

(2n + 2)(6n + 1)

a)

12n + 2

b)

12n² + 2

c)

12n² + 12n + 2

d)

12n² + 14n + 2

89.

Multiply
(x+5)²

a)

x²+25

b)

x²-25

c)

x²+10x+25

d)

x²-10x+25

90.

$\left(x-9\right)^2$

a)

$x^2+18x+81$

b)

$x^2-18x+81$

c)

$x^2+81$

d)

$x^2-81$

91.

Factor the Trinomial:
x² - 8x + 15

a)

(x + 5) ( x + 3)

b)

(x - 5) (x - 3)

c)

(x + 15) (x - 1)

d)

(x - 7) (x - 8)

92.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

93.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

94.

What is the domain of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

95.

What is the range of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

96.

What is the domain of the parabola created by the ball?

a)

Domain : 0 ≤ d ≤ 280

b)

Domain : 0 ≤ h ≤ 150

c)

Domain : 0 ≤ d ≤ 570

d)

Domain : 0 ≤ h ≤ 280

97.

$g\left(x\right)=-\frac{1}{4}\left(x-17\right)^2+61$

What is the domain and range of the function?

a)

$D:\ All\ Real\ Numbers$
$R:\ g\left(x\right)\le61$

b)

$D:\ x\le17$
$R:\ g\left(x\right)\le61$

c)

$D:\ All\ Real\ Numbers$
$R:\ x\le17$

d)

$D:\ g\left(x\right)\ge61$
$R:\ x\le17$

98.

$y=-3(x+5)^2-4$
Convert the equation from vertex form to standard form.

a)

y = 9x²- 15x + 21

b)

y = -3x²- 75x - 4

c)

y = 9x²+ 90x + 221

d)

y = -3x²- 30x - 79

99.

$y=-5(x+2)^2-10$
Convert the equation from vertex form to standard form.

a)

y = -5x²- 20x - 30

b)

y = -5x²- 4x - 10

c)

y = 25x² + 100x + 90

d)

y = 25x² - 10x - 30

100.

What is the vertex of this quadratic equation?

a)

(-2,4)

b)

(2,4)

c)

(4,-2)

d)

(-4,-2)

101.

What is the y-intercept of this parabola?
(a)

Choose from the below words

(0, 5)

(−1, 3)

(−3, 11)

(−2, 5)

102.

Where is the axis of symmetry for this parabola?
(a)

Choose from the below words

x = −1

x = 0

y = 3

x = −3

103.

Does this graph have a maximum or minimum?

(a)

104.

What are the x- intercepts? Choose all that apply.

a)

(0, 0)

b)

(0, 4)

c)

(4, 0)

d)

(-2, 2)

105.

Select ALL the Zeros of this Quadratic.

A

B

C

106.

Match the following attributes.

a)

x = -3

1.

axis of symmetry

b)

(0, 8)

2.

y-intercept

c)

(-2, 0)

3.

x-intercept

d)

(-3, -1)

4.

Vertex

e)

x = -4

5.

Zero

Alg 1 Benchmark 2 Review

Total questions: 106

Worksheet time: 9hrs 42mins

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