Free Printable Week 5 TSI Test Review

1.

$If\ A=\frac{1}{2}bh,\ then\ b=$

a)

$\frac{2A}{h}$

b)

$\frac{Ah}{2}$

c)

$2Ah$

d)

$\frac{A}{2h}$

2.

$If\ m\ =\frac{x+y}{2},\ then\ x\ =$

a)

$\ 2m-y$

b)

$\frac{2m}{y}$

c)

$\frac{m-y}{2}$

d)

$2\left(m-y\right)$

3.

Relationship between height in feet and yards is given by the equation $f\ =\ 3y$ , where y is the height in yards and f is is the height in feet. What is the height in yards for a height of 42 feet?

a)

45

b)

39

c)

126

d)

14

4.

If 6m -1 = m, then 35m =

a)

$1$

b)

$\frac{1}{5}$

c)

7

d)

$5$

5.

What is the length, in units, of side x ?

a)

4√22

b)

22√4

c)

22√2

d)

2√22

6.

A robo-taxi travels at an average speed of x miles per hour. How far will the robo-taxi travel in 90 minutes?

a)

$\frac{9}{2}x$

b)

$\frac{3}{2}x$

c)

$\frac{x}{2}$

d)

$2x$

7.

Which of the following expression gives the area of the figure in square units?

a)

$15x^{2\ }+x$

b)

$16x$

c)

$16x^2$

d)

$15x$

8.

If $\frac{4}{5x}+\ \frac{1}{x}=\ 9$ , then x =

a)

$\frac{1}{9}$

b)

$\frac{1}{5}$

c)

5

d)

$\frac{1}{45}$

9.

The equation for monthly sales in dollars (S) from a factory is given by the equation

$S=250+\frac{x}{100}$ , where x is the number of parts sold that month at the factory.

If x = 25,000, then what is the sales in dollars for the factory in that month?

a)

250

b)

500

c)

2750

d)

600

10.

A carpenter has 4 pieces of wood to make a tabletop. Each piece of wood measures 8 feet long by 2 feet 5 inches wide. What is the total width possible for the table?

a)

16 feet 5 inches

b)

8 feet 6 inches

c)

9 feet 8 inches

d)

32 feet

11.

The equation for monthly sales in dollars “S” from a factory is given by the following– $S=250+\frac{x}{100}$ , where x is the number of parts sold each month.
If sales in the month of October are 650 dollars, then how many parts were sold in October?

a)

256.5

b)

4000

c)

40,000

d)

400

12.

A company produces widgets. The cost to produce each widget is $5, and the company has a fixed overhead cost of $2000 per month. They sell each widget for $10. If the company produces and sells 600 widgets, what is their profit?

a)

$1000

b)

$2000

c)

$3000

d)

$4000

13.

One angle of a triangle is twice the measure of the smallest angle. The third angle is 60° more than the measure of the smallest angle. What is the measure of the smallest angle?

a)

20

b)

30

c)

40

d)

90

14.

If the formula for the perimeter of a rectangle is P = 2L + 2W, which of the following equation gives W in terms of P and L?

a)

$W=\frac{2L-P}{2}$

b)

$W=\frac{P-2L}{2}$

c)

$W=\ \frac{P-L}{2}$

d)

$W=\frac{P-2w}{2l}$

15.

What is the median value of 56, 61, 50, 58, 51, 59, 60, 55

a)

57

b)

58

c)

55

d)

59

16.

If $\sqrt[]{p\ +\ 6}\ +\ 10\ =\ 15$ , then p =

a)

94

b)

19

c)

209

d)

30

17.

John's scores for two tests are 80 and 85. What score must he get on the third test to get average score of 85 for the three tests?

a)

82.5

b)

85

c)

90

d)

80

18.

A student has scored 60, 72, 55, and 80 on four tests. What is the lowest possible score the student could get on the fifth test to reach an average of 65?

a)

58

b)

65

c)

80

d)

100

19.

A set of eight numbers have an average of 22. If one number is removed, the set has an average of 19. What is the value of the number that was removed?

a)

43

b)

41

c)

15

d)

17

20.

The right triangle shown has height q cm and length p cm. What is the area in square cm of the triangle in terms of p and q?

a)

$\sqrt[]{p^{2\ }+\ q^2}$

b)

$\frac{pq}{2}$

c)

$pq$

d)

$p^2q$

21.

The table shows the members who attended the meetup of a gaming club in the months of January, February and March. If no members left the club, what is the least number of members the gaming club could have had?

a)

22

b)

40

c)

76

d)

98

22.

Sam has a list of integers from 1-30 inclusive. If one integer is randomly selected from the list, which of the following is the most likely outcome?

a)

The integer selected will be a multiple of 10

b)

The integer selected will be a multiple of 5

c)

The integer selected will be even

d)

The integer selected will be a multiple of 3

23.

If you flip three fair coins, what is the probability of getting heads on all three flips?

a)

1

b)

$\frac{1}{2}$

c)

$\frac{1}{4}$

d)

$\frac{1}{8}$

24.

A regular 6-sided die is to be rolled once. What is the probability that a prime number is rolled?

a)

1/3

b)

1/6

c)

1/2

d)

2/3

25.

6, 7, 8, 9, 10, 11, 12, x

If a number is chosen at random from the list above, the probability that a multiple of three will be chosen is $\frac{3}{8}$ . Which of the following could be the value of x?

a)

15

b)

18

c)

42

d)

25

26.

What is the probability of a passenger on the Titanic surviving, given they were in first class?

a)

.2855

b)

.6246

c)

.0922

d)

.3230

27.

The table shows the number of contestants that entered a chess tournament. If a contestant is chosen at random, what is the probability that the contestant is female?

a)

$\frac{3}{8}$

b)

$\frac{27}{62}$

c)

$\frac{72}{149}$

d)

$\frac{45}{149}$

28.

How many different outcomes are possible if you rolled a fair six-sided die and then spun a spinner divided into 4 equal sections labeled one to four?

a)

24

b)

36

c)

12

d)

30

29.

The mean of four numbers is 20. If the sum of two of those numbers is 36, and the other two numbers are the same, what is the value of each of those numbers?

a)

12

b)

22

c)

44

d)

40

30.

The bar graph shows the percent of the capacity of customers at a local waterpark during a week in July. The total capacity of the waterpark is 600. How many more guests visited the waterpark on Wednesday as compared to Monday?

a)

180

b)

120

c)

20

d)

60

31.

Julien bought a batch of 200 eggs for his bakery to use for a 7-day week. Each day he used two dozen eggs. In the batch 10 eggs had cracks and had to be discarded. How many eggs were left unused from the batch at end of the week?

a)

114

b)

32

c)

104

d)

22

32.

Which of the following expressions is a factor of $x^2-5x\ -\ 36$ ?

a)

(x - 3)

b)

(x + 4)

c)

(x - 4)

d)

(x + 9)

33.

What are the solutions for x if $x^2-x-2=0?$

a)

$x=2,\ x=-1$

b)

$x=-2,\ x=1$

c)

$x=2\ ,\ x=1$

d)

$x=-2,\ x=-1$

34.

What is the volume in cubic units of the packing box shown in the figure?

a)

$5x^{2\ }-35x\ +\ 30$

b)

$5x^2-7x+30$

c)

$5x^2+25x-30$

d)

$5x^2+35x-30$

35.

The perimeter of the rectangle is 28 units. What is the area of the rectangle in square units?

a)

45

b)

64

c)

4

d)

36

36.

Given $f\left(x\right)=3x+9,$ what is the value of $f\left(-4\right)?$

a)

$-3$

b)

$21$

c)

$8$

d)

$-12$

37.

$\left(\frac{-8x}{3y^3}\right)\left(\frac{y}{4x}\right)=$

a)

$-\frac{2}{3y^2}$

b)

$-\frac{2x}{3y^2}$

c)

$-\frac{8}{3xy^2}$

d)

$\frac{2}{3y^2}$

38.

The age of Kevin's dad is six less than four times Kevin's age. The sum of their ages is seventy-four. What is his dad's age?

a)

20

b)

58

c)

16

d)

54

39.

If f(x) = 2x - 4, and g(x) = $\frac{3}{2}x,$ what is the value of f(4) + g(2)?

a)

8

b)

7

c)

13

d)

9

40.

If $f(x)=2x^2+2x-4,$ which of the following is true?

a)

$f(0)>f(-1)$

b)

$f(0)<f(-1)$

c)

$f(0)=f\left(-1\right)$

41.

Which of the following is NOT a factor of $x^{2\ }+\ x^3$ ?

a)

$x$

b)

$x^3$

c)

$x^2$

d)

$x+1$

42.

The two triangles shown are similar. What is the value of x?

a)

10

b)

2

c)

$\frac{5}{2}$

d)

$\frac{7}{2}$

43.

A rectangle has length of x feet and a width of x + 5 feet. If the Perimeter of the rectangle is 70 feet, what is the value of x in feet?

a)

5

b)

32.5

c)

15

d)

20

44.

The area of the square shown is 64 square units. What is the value of x?

a)

8

b)

4

c)

2

d)

16

45.

A coat is on sale for 25% off the original price of $x. A customer also has a coupon of $15 off the sale price.. Which of the following expression gives the sale price after applying the discount and the coupon in terms of x?

a)

$0.25x+15$

b)

$0.75x+15$

c)

$0.75x-15$

d)

$0.25x-15$

46.

The graph shows the number of hours three friends played video games in the first four months of the year. In which months is the average number of hours played by the three friends equal to 60?

a)

January and March

b)

January and February

c)

February and March

d)

March and April

Week 5 TSI Test Review

Total questions: 46

Worksheet time: 2hrs 55mins

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