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SY26 Algebra I Semester I Final Exam

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41 questions

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For the number set below, find the mean:
-2, 16, 10, 11, 10, 4, 20

5

69/7

22/7

10

For the number set below, find the median:
3, 2, 7, 9, 5

3

5

9

7

For the number set below, find the mode:
-2, 16, 10, 11, 10, 4, 20

10

9.85

22

9

For the number set below, find the range:
-2, 16, 10, 11, 10, 4, 20

Range:

22

10

9.85

66/7

What percent is equal to 9/13?

144.44%

0.6923%

69.23%

1.44%

Five numbers have a mean of 12. If the first four numbers are 3, 10, 18, and 7, what is the missing number?

22

10

5.5

12

Select the smallest fraction:

Choose the second-largest from among the decimals:
0.372, 0.368, 0.37, 0.3709, 0.3

.37

.372

.3709

.368

Add \frac{5}{8}+\frac{3}{7} 

15/56

8/15

8/56

59/56

For the number 12 and 16, name the greatest common factor (GCF) and the lowest common multiple (LCM).

GCF: 4 / LCM: 48

GCF: 48 / LCM: 4

GCF: 12 / LCM: 4

GCF: 4 / LCM: 24

If 4x-6=10, what is the value of 5x?

x

4

20

5

Solve the proportion for x:\frac{8}{x+3}=\frac{4}{x}.

8

4

3

6

If x = 7, what is the value of y in the equation 5x-2y=51?

8

7

-7

-8

Solve the equation for h:

h=2*5-6/g

h=5g

h=15g

h=2*5- 6/g

Translate the following verbal phrase into an algebraic expression.

10 less than a number

10-x

10x-10

10x

x-10

If x=6 and y=8, find the value of 2x+xy.

64

60

26

14

A number is tripled and then decreased by three. This result is equal to 5 more than the original number. Which of the following is this expressed as an equation and its solution?

3-3x=x+5, solution: x=4 

3-3x=x+5, solution: x=4 

3x-3=x+5, solution: x=4 

x^{3}-3=x+5, solution: x=4 

A rectangle has a perimeter of 24 inches. The length is 5 inches. How long is the width?

6 inches

14 inches

19 inches

7 inches

The equation 3(x+8)=3x+2b has infinite solutions when solving for x. What must be the value of b?

7

3

12

0

Simplify \frac{3}{2y}-\frac{3}{y}.

3/2y

0/y

-3/2y

0

Multiply \frac{x+4}{7}\cdot\frac{3}{x-8} 

\frac{12x}{-x} 

\frac{3x+4}{7x-8} 

\frac{x+12}{7x-8} 

\frac{3x+12}{7x-56} 

Solve the inequality: -\frac{x}{5}+2>5.

x>12

x<15

x>35

x<23

A number is tripled, and then cut in half. The result does not exceed 12. What inequality describes the range of the original number? Set up and write the inequality. Do not solve it.

{{3x}\over{2}}\le12 

{{3x}\over{2}}\ge12 

{{3x}\over{2}}<12 

{{3x}\over{2}}>12 

Is the following inequality, and if so, which special case? $\frac{1}{2}(6+2x)<x+10$.

No

Yes, two solutions

Yes, no solutions

Yes, infinite solutions

What inequality is graphed below?

What is the solution to the inequality below using set notation?

In order to ride a roller coaster, you must be taller than 36 inches, but the maximum height is 68 inches. Write the inequality of the heights (with the variable h) which are accepted on the ride.

36\le{h}\le68 

36>h\ge68 

36<h<68 

36<h\le68 

What inequality is graphed below?

[1,\infty)\cap(-\infty,3] 

[1,3] 

(1,3) 

(1,\infty)\cup(-\infty,3) 

Solve the inequality |x+3|<9.

-6<x<12

-6>x>12

-12<x<6

x<6 or x>-12

It takes Francisco 13 minutes to run 2 laps around a park. If he runs for 50 minutes, what is the number of whole laps he completed?

7

8

7.69

7.7

A map has a legend 1 inch : 55 miles. Two cities on the map are 2.75 inches away on the map. How far are they in real life?

110 miles

20 miles

52.25 miles

151.25 miles

What is 10% of 42?

4200

4.2

420

4.24

Gordon purchased a television when his local electronics store was having a sale. The television was offered at 30% off its original listed price of $472. How much will Gordon pay for the TV?

$330.40

$613.60

$141.60

$315.05

A TV priced at $520 is discounted at 25%. If you have to pay 11% sales tax on the discounted price, what is the final price of the TV?

$332.80

$347.10

$447.20

$432.90

How many minutes are in 1 year?

86,400

525,600

31,536,000

1,314,000

Write the linear equation in slope-intercept form given the points:

y=\frac{2}{3}{x} 

y=\frac{3}{2}{x}+15 

y=-\frac{2}{3}{x} 

y=-\frac{3}{2}{x}+15 

Select the linear equation in slope-intercept form that passes through the point (1,−3) and is parallel to the line y = -3x - 2.

y=\frac{1}{3}x+2 

y=-3x

y=-\frac{1}{3}x 

y=-3x+2

The function f(x)=8.75x+30 represents the amount of money, f(x), Lili expects to earn each week after working x hours, including her hourly pay and tips.

How much money does Lili make each hour?

$30

$38.75

$8.75

Cannot determine from information given

The function f(x)=8.75x+30 represents the amount of money, f(x), Lili expects to earn each week after working x hours, including her hourly pay and tips.

What would the point (12, 135) represent in the context of this problem?

12 hours worked, $135 in tips

12 hours worked, $135 total earnings

$12 per hour, $135 total earnings

135 hours worked, $12 in tips

The function f(x)=8.75x+30 represents the amount of money, f(x), Lili expects to earn each week after working x hours, including her hourly pay and tips.

What does the number 30 represent in this function?

Her tips

Her take-home pay

The number of hours she worked

Her hourly wage