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Worksheets

SBAC Math Challenge

Total questions: 46

Worksheet time: 38mins

Name
Class
Date
1.

Derrick H. (2nd per.) says:


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

a)

5-10

b)

510

c)

55

d)

53/4

2.

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

3.

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)

4.

Sydney W. (2nd per.) asks:


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

a)

122

b)

12

c)

123

d)

124

5.

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

6.

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

7.

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

8.

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

9.

Deanna S. asks:

What is the measure of Angle CFE in trapezoid CDEF?

a)

82⁰

b)

118⁰

c)

38⁰

10.

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

11.

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

a)

30⁰

b)

60⁰

c)

120⁰

d)

150⁰

12.

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

a)

1

b)

2

c)

3

d)

4

13.

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

14.

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

15.

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

16.

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

17.

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

18.

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)

19.

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

a)

b2

b)

b86

c)

b100

d)

b110

20.

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

21.

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)

22.

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

a)

A1O

b)

A2O

c)

M1O

d)

M2O

23.

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.

24.

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)

25.

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

26.

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

27.

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

a)

25°

b)

50°

c)

75°

d)

100°

28.

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

29.

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

30.

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

31.

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

32.

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

33.

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

34.

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

35.

Taneli M. (5th per.) asks:


Which expression is equivalent to ∜81?

a)

31/4

b)

3

c)

34

d)

36

36.

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

37.

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

38.

Destinee says: Select an expression equivalent to


b13 / b6


in the form bm.

a)

b2.17

b)

b6

c)

b7

d)

b13

39.

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

40.

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

41.

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

a)

22

b)

4

c)

23

d)

8

42.

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

a)

19 / √986

b)

19 / 25

c)

25 / 19

d)

25 / √986

43.

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)

44.

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


4x = 3 + 2x


have?

a)

zero

b)

one

c)

infinitely many

45.

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

46.

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)