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Worksheets

Math Review SBAC and Mindfulness

Total questions: 103

Worksheet time: 3hrs 50mins

Name
Class
Date
1.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
2.
The ordered pair that satisfies all equations in the system.
a)
system of equations
b)
function
c)
graph
d)
solution of a system
3.
Find the solution.
a)
(6,4) and (3,1)
b)
(-2,7) and (5,2)
c)
(5,4) and(-2,-5)
d)
(1,-1) and (4,2)
4.

How many solutions does this system of equations have?

a)

one solution

b)

two solutions

c)

three solutions

d)

no solutions

5.

How many solutions does this system of equations have?

a)

one solution

b)

two solutions

c)

no solutions

d)

All of the above

6.
When you graph an inequality, you used a solid line when you use which symbols?
a)
≤, ≥ 
b)
<, >
7.
When graphing an inequality, you use a dotted line when you use which symbol?
a)
<, >
b)
≤, ≥ 
8.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
9.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
b)
y < 2x - 4
y < 2
c)
y > 2x - 4
<  2 
d)
y < 2x - 4
<   -2
10.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
b)
y < 2x - 4
y < 2
c)
y > 2x - 4
<  2 
d)
y < 2x - 4
<   -2
11.

Solve the system of inequalities by graphing.

a)
b)
c)
d)
12.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
13.
-8b - 8 > 56 
a)
b > 6
b)
b < -8
c)
b > -8
d)
b > 7/2
14.
-3x2 + 45 ≥ 6x
a)
-5 < x < 3
b)
-5 ≤ x ≤ 3
c)
x < -5 or x > 3
d)
x ≤ -5 or x ≥ 3
15.

This graph shows the amount of gas,

in ounces, in a lawn mower gas tank modeled as a function of time.


Using the graph, select the answers that are TRUE

a)

The maximum amount of gas in the gas tank was 60 oz

b)

The amount of gas in the gas tank is at a maximum at t=0 minutes

c)

The gas tank will be empty after 60 minutes

16.
a)
A
b)
B
c)
C
d)
D
17.

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?

a)

3 + 2x

b)

3x + 2

c)

3x + 2x

d)

5x

18.
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? 
a)
1s + 3c = 38
2s + 3c = 52
b)
3s + 1c = 38
3s + 2c = 52
c)
s + c = 38
s + c = 52
d)
3s + 3c = 38
1s + 2c = 52
19.

A coffeehouse charges a flat rate, r, for each hour a customer wants to use the Internet. Select the equation that expresses the total cost, c, to use the internet at the coffeehouse for t hours.

a)

c=rtc=\frac{r}{t}

b)

c=rtc=rt

c)

rt=c\frac{r}{t}=c

d)

c=trc=\frac{t}{r}

20.
(2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
21.
Evaluate the expression using the Same Base, Division rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
2z7
22.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
23.

Derrick H. (2nd per.) says:


Select an expression that is equivalent to √(510).

a)

5-10

b)

510

c)

55

d)

53/4

24.

Derrick H. (2nd per.) says:


Enter an expression equivalent to


(4x2+5y2-3x)+(x2+2y2-3x)-(x2+3y2+x)

a)

4x2+10y2-7x

b)

6x2+4y2-6x

c)

4x2+4y2-7x

25.

Maks Y. (2nd per.) asks: What are the coordinates plotted on the graph?

a)

(0, 2), (-2, 4), (-1, 5)

b)

(2, 0), (4, 2), (5, -2)

c)

(2, 0), (4, -2), (5, -1)

26.

Sydney W. (2nd per.) asks:


Which of the following is equivalent to √(12)4 ?

a)

122

b)

12

c)

123

d)

124

27.

Reagan G. (2nd per.) asks:


What is the minimum value of the function?


y = x2 - 12x + 9

a)

6

b)

0

c)

-6

d)

-27

28.

Lilly S. (2nd per.) asks:


Which inequality represents all possible solutions of -3x ≥ 21 ?

a)

x ≤ 72

b)

x > 72

c)

x ≤ -7

d)

x < 7

29.

Reagan G. (2nd per.) says:


A student earns $13 per hour. She wants to earn at least $300. Which inequality represents all of the possible numbers of hours (h) the student could work to meet her goal?

a)

h ≥ 13

b)

h > 24

c)

h ≥ 24

d)

h ≥ 300

30.

Trinity P. (1st per.) says:


Suppose Angle A is an angle such that cos A = sin A. Select all the angles that could be possible values for Angle A.

a)

25 degrees

b)

35 degrees

c)

45 degrees

d)

65 degrees

31.

Deanna S. asks:

What is the measure of Angle CFE in trapezoid CDEF?

a)

82⁰

b)

118⁰

c)

38⁰

32.

Cody M. (1st per.) says:


Select the expression that is equivalent to (m2 - 25).

a)

m2 - 10m + 25

b)

m2 + 10m + 25

c)

(m - 5)(m + 5)

d)

(m - 5)2

33.

Hallie H. (2nd per.) asks: What is x in degrees?

a)

30⁰

b)

60⁰

c)

120⁰

d)

150⁰

34.

Makenah J. (1st per.) asks: How many nonoverlapping triangles can this polygon be divided into?

a)

1

b)

2

c)

3

d)

4

35.

Daniel, Emma, and Paul (1st per.) say: ABCD is a parallelogram. Select all statements that are true.

a)

CD = DE

b)

DE = FC

c)

CE = FD

d)

CD = FE

36.

Morgan B. (1st per.) asks:


Which of the following is an expression equivalent to a12/a5?

a)

a2.4

b)

12/5

c)

a7

d)

7

37.

Nick K. (1st per.) says:


A sloth travels 4,000 meters at a constant speed, s. Select an equation that can be used to find the speed of the sloth if the time taken to travel the 4,000 meters is 2 hours.

a)

s = 4,000 ÷ 2

b)

s = 2,000 × 2

c)

s = 2 ÷ 4,000

38.

Jorge L. (1st per.) asks:


Which inequality represents all possible solutions of -8n < -16 ?

a)

n < 24

b)

n > 2

c)

n < 2

d)

n > 24

39.

Christina (1st per.) says:


Candice earns $10.50 per hour plus 6% of her sales. Select an equation for Candice's total earnings, E, in dollars, when she works x hours and has a total of y dollars in sales.

a)

E = 10.5x + 6y

b)

E = 10.5x + 0.06y

c)

E = 6x + 10.5y

d)

E = 0.06x + 10.5y

40.

Candice O. (1st per.) asks: Which of the following expressions can be used to find the length of side AC?

a)

35 sin (angle A)

b)

21 tan (angle A)

c)

35 cos (angle B)

d)

21 tan (angle B)

41.

Brianna R. (1st per.) says: Select an expression equivalent to b186/b86.

a)

b2

b)

b86

c)

b100

d)

b110

42.

Matty O. (1st per.) says: The circle is centered at point A. EF is parallel to DC. What is the measure of angle FED?

a)

72⁰

b)

108⁰

c)

144⁰

43.

Matty O. asks: Which region contains the solution set of this system of linear inequalities:

y ≥ -(2/3)x + 4

y ≥ 4x - 3

a)

Region A (white)

b)

Region B (red)

c)

Region C (purple)

d)

Region D (blue)

44.

Zach D. asks: Which of the following segments are perpendicular bisectors?

a)

A1O

b)

A2O

c)

M1O

d)

M2O

45.

Isaiah B. asks:


What is the domain over which the function y = 2/x is defined?

a)

x is a subset of the real numbers such that x ≠ 0.

b)

x is a subset of the real numbers such that x ≠ 2.

c)

y is a subset of the real numbers such that y ≠ 0.

d)

y is a subset of the real numbers such that y ≠ 0.

46.

Corin G. (5th per.) made a line plot of how many times 19 of her friends have gone to amusement parks. Which set of data corresponds to the line plot?

a)

(2, 3, 4)

b)

(0, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4)

c)

(1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4)

d)

(2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4)

47.

Adriana (5th per.) asks: If angles 2 and 6 each measure 40⁰, what do angles 1 and 5 each measure?

a)

50⁰

b)

80⁰

c)

120⁰

d)

140⁰

48.

Carolyn N. (5th per.) asks: What are the solutions of the following equation?


3x2 - 12x + 9 = 0

a)

x = 0 and x = 2

b)

x = 1 and x = 3

c)

x = 3 and x = 9

d)

x = 9 and x = 12

49.

Mathias D. (5th per.) asks: If arc DE measures 100°, what is the measure of ∠C ?

a)

25°

b)

50°

c)

75°

d)

100°

50.

Reyonna S. (5th per.) asks: How many solutions does the equation


5 / 10x = 1 / 50x


have?

a)

no solution

b)

one solution

c)

infinitely many solutions

51.

Miles M. (5th per.) asks: What are the solutions to the following equation?


3 / (x - 4) = x / 7

a)

x = 3/7 and x = 7/3

b)

x = -7 and x = 3

c)

x = -3 and x = 7

d)

x = -3/7 and x = -7/3

52.

Juelz M. (5th per.) asks: Which expression is equivalent to m2- 49 ?

a)

m2 - 7m + 7m

b)

m2 + 7m

c)

(m - 7)(m + 7)

d)

(m - 7)2

53.

Gracia (5th per.) asks: What are the solutions of the following equation?


9 / (x - 3) = x / 3

a)

x = 3 and x = 9

b)

x = 3 and x = -9

c)

x = -3.908 and y = 6.908

d)

x = -6.908 and x = 3.908

54.

Margret D. (5th per.) asks: How many solutions does the following equation have?


√(2x + 3) + 6 = 0

a)

zero solutions

b)

one solution

c)

infinitely many solutions

55.

Silas, Maddie, and Daniel (5th per.) ask: Which expression is equivalent to


(3x2+2y2-3x)+(2x2+y2-2x)-(x2+3y2+x)


using the lowest possible number of terms?

a)

5x2-6x-x2

b)

4x2+6y2-4x

c)

-2x2

d)

4x2-6x

56.

Dakota H. (5th per.) says: Consider this right triangle. Select the ratio equivalent to sin (∠E).

a)

20/21

b)

21/20

c)

20/29

d)

21/29

57.

Taneli M. (5th per.) asks:


Which expression is equivalent to ∜81?

a)

31/4

b)

3

c)

34

d)

36

58.

David C. (5th per.) asks: How many real solutions does the equation


5 / 20x = 1 / 4x


have?

a)

zero real solutions

b)

one real solution

c)

infinitely many real solutions

59.

Alana S. says: A train travels 625 miles at a constant speed, s, in miles per hour. Select an equation that can be used to find the speed of the train, if the time to travel 250 miles is 2.5 hours.

a)

s = (625 - 250) / 2.5

b)

s = 250 / 2.5

c)

s = 625 / 2.5

d)

s = 250 × 2.5

60.

Destinee says: Select an expression equivalent to


b13 / b6


in the form bm.

a)

b2.17

b)

b6

c)

b7

d)

b13

61.

Paul P. asks:


Which inequality represents all possible solutions for 7n > -50 ?

a)

n > -50 / 7

b)

n < -50 / 7

c)

n > -7 / 50

d)

n < - 7 / 50

62.

Andrew M. says: Jake is planning a vacation. The vacation will cost a total of $1400. Starting tomorrow, Jake will put $100 into his bank account every week to pay for the vacation, and he will have enough money in his account for the vacation in 8 weeks. How much money does Jake have in his bank account now?

a)

$400

b)

$600

c)

$800

d)

$1000

63.

Ace K. asks: Which expression(s) is/are equivalent to (√2)6?

a)

22

b)

4

c)

23

d)

8

64.

Gavin S. asks: What ratio is equivalent to tan (∠C) ?

a)

19 / √986

b)

19 / 25

c)

25 / 19

d)

25 / √986

65.

Brett P. asks:


Which expression is equivalent to m2 - 50 ?

a)

(m + 5)(m - 10)

b)

(m + 10)(m - 5)

c)

(m - 50)(m + 1)

d)

(m + √50)(m - √50)

66.

Kaden B. (6th per.) asks: How many real solutions does


4x = 3 + 2x


have?

a)

zero

b)

one

c)

infinitely many

67.

Collin D. asks: Which explicit formula is equivalent to the following recursive formula?


f(1) = -22

f(n) = f(n-1) + 7

a)

f(n) = -29 + 7n

b)

f(n) = -22 + 7n

c)

f(n) = -22 + 15n

d)

f(n) = n - 23

68.

Connor S. says: Choose the ordered pair that is a solution to the equation represented by the graph.

a)

(-2, 2)

b)

(-2, -2)

c)

(-4, 2)

d)

(2, 4)

69.

Select an expression equivalent to (y2-25)

a)

y2-10y-25

b)

y2-10y+25

c)

y2+10y+25

d)

(y-5)2

e)

(y+5)(y-5)

70.

Write the equivalent expression to √38

a)

31/4

b)

33

c)

34

d)

32

e)

36

71.

Choose all statements that are correct:

a)

5/(20x) = 1/(4x) has no real solutions

b)

5/(20x) = 1/(4x) has many solutions solutions

c)

3x = 4 + 5x has one real solution and x=2

d)

√(2x+3) + 6 =0 has no real solutions

e)

√(2x+3) + 6 =0 has many real solutions

72.

Enter and expression equivalent to (3x2+2y2-3x) +(2x2+y2+2x) - (x2 +3y2 +x) using the fewest number of possible terms

a)

4x2-2x

b)

4x2 + 6y2

c)

4x2 + 6y2 -2x

d)

8x3y2

e)

-48x2y2

73.
a)

The student solved the equation correctly.

b)

The student made an error in step 2.

c)

The student made an error in step 5.

d)

Only x= 7 is a solution to the original equation.

e)

Only x= -3 is a solution to the original equation.

74.

Which inequality represents all possible solutions of -6n < -12

a)

n < -1/2

b)

n > 72

c)

n < 2

d)

n > 2

e)

n < 1/2

75.

Choose all of the correct ratios for the triangle in the picture

a)

Sin (B) =21/29

b)

Sin (B) =20/29

c)

Cos (A) =21/29

d)

Tan (B) =21/29

e)

Tan (A) =21/20

76.

Choose all of the numbers that would refute Cheryl's claim

a)
b)
c)
d)
e)
77.

A train travels at a constant speed (x), in miles per hour,.

Which of the following equations could be used for the speed of the train, if the train travels 250 miles in 5 hours, check all that apply

a)

5(x)=250

b)

250(x)=5

c)

x=50

d)

x=50/250

e)

50(x)

78.
a)

gs

b)

g/s

c)

s/g

d)

1/(sg)

e)

1/(gs)

79.

Choose ALL answers that apply

a)

The student made an error on step 2

b)

The student made an error on step 3

c)

The student made an error on step 4

d)

The answer to the original equation is x=-6

e)

The answer to the original equation is x= 6

80.

Which recursive formula matches the explicit formula shown?

a)
b)
c)
d)
e)
81.

Which recursive formula matches the explicit formula shown?

a)
b)
c)
d)
e)
82.

A store sell used and new video games. New video games cost more than used video games. All used video games cost the same. All new video games cost the same.

Omar spent a total of $84 on 4 used games and 2 new games. Sally spent a total of $78 on 6 used video games and 1 new video game. Jane has $120 to spend.

How many used video games can Janet purchase after she has purchased 3 new video games?

a)

5

b)

6

c)

7

d)

8

e)

9

83.

Given the systems of inequalities

y≤ -1/2x +3

y ≥ 2x-2

Choose all correct statements:

a)

The top left should be shaded because it is the solution region.

b)

The top right should be shaded because it is the solution region.

c)

The bottom left should be shaded because it is the solution region.

d)

The bottom right should be shaded because it is the solution region.

e)

Both the lines should be dotted instead of solid

84.

What is the measure of angle QPS?

a)

68

b)

112

c)

136

d)

158

e)

Not enough information

85.

Choose all the ordered pair that is a solution to the equation that is represented by the graph.

a)

(0,-3)

b)

(2,0)

c)

(2,2)

d)

(-3,0)

e)

(0,2)

86.

Choose all the correct statements

a)

The student made as mistake in step 1

b)

The student made a mistake is step 2

c)

The student made a mistake in step 3

d)

The answer to the problem is y=4

e)

The student did not make a mistake their answer is correct

87.

Consider a sequence whose first 5 terms are: -1.75, -.5, .75, 2, 3.25

Which function (with domain all integers n≥1) could be used to define and continue this sequence?

a)
b)
c)
d)
e)

The domain can not be restricted for this sequence, it should be all real numbers

88.

Which of the following is an equivalent expression to (b11) / (b4), choose all that apply

a)

b7

b)

(b3)(b4)

c)

(b3)4

d)

(b4)3

e)

1/(b-7)

89.

The depth of a river changes after a heavy rainstorm. Its depth, in feet, is a model as a function of time, in hours. Consider this graph of the function. What is the average rate of change of the depth of the river, measured as feet per hour, between hour 9 and hour 18

a)

3

b)

1/3

c)

-3

d)

11/24

e)

-1/3

90.

Nina has some money saved for vacation she has planned.

The vacation cost $1600, she will put $150 a week in he account to help pay for the vacation. She will have enough money to pay for the vacation in 8 weeks.

If Nina is able to save $200 a week instead of $150, how many fewer weeks would it take her to save enough money for the vacation?

a)

1 week

b)

2 weeks

c)

3 weeks

d)

4 weeks

e)

5 weeks

91.

Consider parallelogram ABCD with X at the intersection of the diagonal segments AC and BD.

Evelyn claims ABCD is a square. Select all statements that must be true for Evelyn's claim to be true.

a)

m∡AXB=90

b)

AB=BD

c)

AD=AB

d)

AC=BX

e)

m∡ABC≠90

92.

A student earns $7.50 an hour at a part time job. She wants to earn at least $200. Which of the following represent the situation, choose all that apply.

a)

7.5x = 200

b)

200 > 7.5x

c)

7.5x ≥ 200

d)

x < 26.6667 hours

e)

x ≥ 26.6667 hours

93.

Micheal took 12 tests in his math class. His lowest score was 78. His highest score was 98. On the 13th test he scored a 64. Choose all the correct statements when the last score is added

a)

Mean decreased

b)

Standard deviation increased

c)

Standard deviation decreased

d)

Median decreased

e)

It cannot be determined if the median decreased

94.

In the figure given ABCD is a rectangle, and quadrilateral ACED is a parallelogram. Which of the following would be used to prove the two shade triangles congruent, check all that apply.

a)

AC is congruent to DE because the opposite sides of a parallelogram are congruent. (S)

b)

AB is congruent to DC because the opposite sides of a Rectangle are congruent. (S)

c)

Angle ABC and Angle DCE are both 90 degrees so they are congruent (A)

d)

Triangle ABC and Triangle DCE are congruent by SAS

e)

Triangle ABC and Triangle DCE are congruent by HL

95.

Choose all the answers that have the correct domain for the function

a)

f(x) = (x+4)/(x) x≠-4

b)

f(x) = (x+4)/(x) x≠0

c)

f(x)= x(x+4) x≠-4

d)

f(x)= x(x+4) x=All real numbers

e)

f(x)= 4/(x2+8x+16) x≠4 or x≠-4

96.

Emma is standing 10 feet away from the base of a tree and tries to measure the angle of elevation to the top. She is unable to get an accurate measurement, but determines the angle of elevation is between 55 and 75 degrees.

Decide which of the values could be a reasonable height for the tree, choose all that apply.

a)

4.2 feet

b)

14.7 feet

c)

24.4 feet

d)

33.9 feet

e)

39.3 feet

97.

Emma has a gift certificate for $10 to use at an online store. She can purchase songs for $1 each, or episodes of TV shows for $3 each. She wants to spend exactly $10. Choose all the the answers that model this situation

a)

The function that represents this situation is f(x)=3x+1

b)

The equation to represent this equation is s+3t=10

c)

If songs are the variable on the x-axis, the x-intercept is 10

d)

If TV shows are the variable on the y-axis, the y-intercept is 3

e)

Emma could purchase 4 songs and 2 TV shows

98.

Which of the following could be used to find the length of side RS?

a)

21 Tan (R)

b)

√ [(21)2+(35)2]

c)

35 Sin (R)

d)

21 Tan (T)

e)

35 Cos (R)

99.

Given the function y=3x2-12x+9, choose all the statements that are true about the graph.

a)

The x-intercepts of the graph are at (0,-3)&(0,-1)

b)

The x-intercepts of the graph are at (3,0)&(1,0)

c)

The y-intercept of the graph are at (0,-9)

d)

The equation of the line of symmetry is x=2

e)

The vertex is the minimum of the graph located at (2, -9)

100.

Mike earns $6.50 per hour plus 4% on his sales.

Which of the following equations is the equation for Mike's total earnings, E when he works x hours and has a total of y sales, in dollars

a)

y= 4x+6.50

b)

y=.04x+6.50

c)

6.5x+.4y=E

d)

6.5x+.04y=E

e)

x+.4y= $6.50

101.

When a transversal intersects parallel lines it creates two pairs of alternate exterior angles.

Ricky claims that each pair are congruent to each other but are not congruent to either angle in the other pair. Choose all the statements that are true.

a)

The exterior angles that are not a pair formed by the transversal are supplementary

b)

The exterior angles that are not a pair formed by the transversal are complementary

c)

Ricky is right, the angles will never match!

d)

Ricky is right unless the transversal is perpendicular to the parallel lines.

e)

All the angles are congruent to one another with any transversal because you have alternate exterior angles and corresponding angles which are both congruent.

102.

"Mindfulness" means all of the following EXCEPT:

a)

Being present in the moment with thoughts and feelings

b)

Accepting yourself, your current situation, and the people or things around you.

c)

Having a full mind

d)

Being aware of what is happening

103.

What is mindfulness?

a)

Thinking about the past and future

b)

Remaining attentive and focused on the present moment

c)

Daydreaming about different scenarios

d)

Ignoring the present moment