Free Printable Algebra 1st Semester Review

1.

Evaluate the expression $\left(\left(3-\left(-1\right)\right)\times\left(\left(-12\right)\div\left(-3\right)\right)\right)$

a)

16

b)

12

c)

19

d)

13

2.

Evaluate the expression $-10\div\left(2-\left(\left(-6\right)-\left(-4\right)\right)^2\right)$

a)

15

b)

3

c)

7

d)

6

3.

Evaluate the expression
$\frac{1}{3}\left[\left(5-3\right)^2+4\right]$

a)

2

b)

$\frac{8}{3}$

c)

$\frac{16}{3}$

d)

6

e)

8

4.

Evaluate the expression
$\frac{5^2-1}{20-12}$

a)

3

b)

-10.8

c)

1.125

d)

12

5.

Evaluate the expression using the values given
$z\left(x\ +\ x\right);\ use\ x\ =\ 3\ and\ z\ =\ 3$

a)

16

b)

19

c)

18

d)

22

6.

Evaluate using the values given
$ab+b^2;\ use\ a\ =\ 5\ and\ b\ =\ 3$

a)

24

b)

23

c)

20

d)

19

7.

Which expression represents the phrase "nine less than t is twelve".

a)

$\frac{t}{9}=12$

b)

$t-9=12$

c)

$9-t=12$

d)

$9+t\le12$

8.

Evaluate using the values given
$y\left(x-x\right)+y;\ use\ x\ =\ 4\ and\ y\ =\ -3$

a)

1

b)

-3

c)

-8

d)

-2

9.

Evaluate using the values given
$p\left|q-m\right|;\ use\ m=3,\ p=-2\ and\ q=5$

a)

-8

b)

-10

c)

-3

d)

-4

10.

What is the value of $2m^2+m-5$ when m = 5.

a)

0

b)

5

c)

10

d)

25

e)

50

11.

Which expression represents the phrase "a number decreased by 13 is less than or equal to 10".

a)

13 - n < 10

b)

n - 13 < 10

c)

13 - n > 10

d)

$\frac{13}{n}\le10$

12.

Which expression represents the phrase "seven more than the square of a number y divided by 2".

a)

$\frac{\left(y^2+7\right)}{2}$

b)

$y^2+\frac{7}{2}$

c)

$2y^{2\ }+\ 7$

d)

$\frac{y^2}{2}+\ 7$

13.

Which expression represents the phrase "the quotient of a number and 8 is greater than or equal to 50".

a)

$n-8\ge50$

b)

$\frac{n}{8}\ge50$

c)

$8+n\ge50$

d)

$\frac{8}{n}\ge50$

14.

Which expression represents the phrase "the difference of three times a number k and 2 is greater than 16 ".

a)

2 - 3k > 16

b)

3(k - 2) > 16

c)

3k - 2 > 16

d)

3k - 2 > 16

e)

3(k - 2) > 16

15.

Simplify the expression
$n+2+1+5n$

a)

1 + n

b)

n + 3

c)

6n + 3

d)

-1 - 11n

16.

Simplify the expression

5(x + 10)

a)

-4x + 50

b)

5x + 50

c)

x + 50

d)

-3x + 50

17.

Simplify the expression
$-5+3\left(4+2x\right)$

a)

-64 + 36x

b)

-64 + 26x

c)

7 + 6x

d)

-64 + 18x

18.

Simplify the expression
$-\left(n-7\right)+10$

a)

91n - 9

b)

-n + 17

c)

-5 - n

d)

-n + 24

19.

Simplify the expression
$\frac{8x-16}{4}$

a)

-4x - 12

b)

2x - 4

c)

4x -12

d)

32x - 48

20.

You ride your bike at an average speed of 8 miles per hour. How many miles can you travel in 1.5 hours?

a)

9.5 miles

b)

12 miles

c)

16 miles

d)

24 miles

e)

30 miles

21.

Perform the indicated operation. Write the answer with the correct number of significant digits.
$17.497\ km\ +\ 20.82\ km$

a)

38.31 km

b)

38.317 km

c)

38.32 km

d)

38.3 km

22.

Choose the more precise measurement: 0.033 mm or 0.033 cm

a)

0.033 mm

b)

0.033 cm

23.

Perform the indicated operation. Write the answer with the correct number of significant digits.
$47.725\ ft^{2^{ }}\div8.3\ ft$

a)

5.8 ft

b)

5.75 ft

c)

5.7 ft

d)

6 ft

24.

Tell whether the pairing is a function.

a)

yes

b)

no

25.

Solve the equation.
$\frac{x}{12}=-11$

a)

-23

b)

1

c)

-132

d)

132

26.

Solve the equation.
$3\ +\ 3n\ =\ -39$

a)

-10

b)

-19

c)

-14

d)

-3

27.

Solve the equation.
$1+6v+6v=-23$

a)

-12

b)

-2

c)

4

d)

-15

28.

Solve the equation.
$2p-5p=-3p-8$

a)

7

b)

-9

c)

2

d)

no solution

29.

Solve the equation.
$p+3=8p+10$

a)

-1

b)

-15

c)

-2

d)

-9

30.

Solve the equation.
$-6\left(x+5\right)=6\left(x+7\right)$

a)

-3

b)

-6

c)

-13

d)

All real numbers

31.

A new plasma-screen television costs $5250. A family makes a down payment of $552 and pays off the balance in 24 equal monthly payments. Write and solve an equation to find the monthly payment.

a)

$195.75

b)

$218.75

c)

$241.75

32.

Solve the proportion.
$\frac{4}{5}=\frac{12}{y}$

a)

16

b)

13

c)

9

d)

15

33.

Solve the proportion.
$\frac{16}{9}=\frac{-4t}{27}$

a)

8

b)

-4

c)

-3

d)

-12

34.

Solve the proportion.

$\frac{b}{5}=\frac{b+3}{3}$

a)

-1

b)

-7.5

c)

-6

d)

-4

35.

Solve the proportion.
$\frac{4}{x+3}=\frac{5}{2x+5}$

a)

-5

b)

-10

c)

-1.7

d)

-1.67

36.

You know that 4 pizzas will feed 16 people. How many pizzas do you need to order to feed 56 people?

a)

15 pizzas

b)

16 pizzas

c)

14 pizzas

d)

17 pizzas

37.

Write the equation so that y is a function of x.
$x-2y=-6$

a)

$y\ =\ \frac{1}{2}x-3$

b)

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

c)

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

d)

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

38.

Find the slope of the line that passes through the points.

(3, -6), (-2, -12)

a)

$-\frac{5}{6}$

b)

$\frac{5}{6}$

c)

$-\frac{6}{5}$

d)

$\frac{6}{5}$

39.

Find the slope of the line that passes through the points.
(-3, 8), (-3. -3)

a)

$-\frac{2}{3}$

b)

$\frac{2}{3}$

c)

$0$

d)

Undefined

40.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

41.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

42.

Which graph represents $y=-\frac{3}{2}x+4$ ?

a)

b)

c)

d)

43.

Which graph represents 2x - 5y = -10 ?

a)

b)

c)

d)

44.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

45.

Which line has an x-intercept = 5 and y-intercept = -2.

a)

b)

c)

d)

46.

Given y varies directly with x, and y = 16 when x = 32. Which equation represents this situation?

a)

y = 32x

b)

y = 16x

c)

y = 2x

d)

$y=\frac{1}{2}x$

47.

Given y varies directly with x. Which function represents the relationship between x and y when y = 14 when x = 6.

a)

y = 20x

b)

y = 84x

c)

$y=\frac{7}{3}x$

d)

$y=\frac{3}{7}x$

48.

Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the constant of variation?

a)

k = 10

b)

k = 2

c)

k = 5

d)

k = 1/5

49.

Evaluate the function $f\left(x\right)=-4x+5$ when x = 2.

a)

3

b)

-3

c)

1

d)

-1

50.

Find the value of x so that the function has the given value.

$h\left(x\right)=3x-5\ ;\ \ -14$

a)

3

b)

-3

c)

6

d)

-5

51.

Find the value of y so that the line through the points has the given slope.
(3, -7), (1, y) ; slope: 1

a)

-6

b)

0

c)

4

d)

-9

52.

Which is the slope-intercept for of the line for the given graph.

a)

y = 3x + 3

b)

y = -2x + 3

c)

y = -4x + 3

d)

y = 3x - 4

53.

Which is the slope-intercept form of the line with a slope = $\frac{7}{3}$ and y-intercept = 4.

a)

$y=\frac{2}{3}x-\frac{1}{3}$

b)

$y=\frac{7}{3}x+4$

c)

$y=-\frac{1}{3}x+4$

d)

$y=4x-\frac{1}{3}$

54.

Which is the slope-intercept form of the line that passes through the point (1, -5) and has a slope = 2.

a)

y = -2x + 3

b)

y = -3x - 2

c)

y = -4x - 3

d)

y = -2x - 3

55.

Which is the slope-intercept form of the line that passes through the points (0, -5) and (5, 2)?

a)

$y=-5x+\frac{7}{5}$

b)

$y=-\frac{1}{5}x-5$

c)

$y=\frac{7}{5}x-5$

d)

$y=-5x-\frac{1}{5}$

56.

Write the standard form of the line that passes through the point (2, 5) and a slope = 5.

a)

5x - y = 5

b)

5x - y = -3

c)

x - y = -2

d)

x - y = 2

57.

Write the standard form of the equation of the line that passes through the point (-3, -3) and (2, 4).

a)

5x - 7y = 6

b)

5x - 7y = -6

c)

7x - 5y = -6

d)

5x - 7y = -14

58.

What is the equation of the vertical line through the point (-4, 6)?

a)

y = -4

b)

y = 6

c)

x = -4

d)

x = 6

59.

Write the slope-intercept form of the equation that passes through (1, 2) and is parallel to y = -7x + 2.

a)

y = 7x + 5

b)

y = -7x + 5

c)

y = -3x - 5

d)

y = -7x - 5

60.

Write the slope-intercept form of the line that passes through (1, 3) and is perpendicular to the line $y=-\frac{1}{2}x$ .

a)

$y=2x+1$

b)

$y\ =\ 2x\ +2$

c)

$y=-\frac{1}{2}x+1$

d)

$y=-\frac{1}{2}x+2$

61.

Your science class is taking a field trip to an observatory. The cost of a presentation and a tour of the telescope is $60 for the group plus an additional $3 per person. Write an equation the gives the total cost C as a function of the number of people p in the group.

a)

C = 3p + 60

b)

C = 63p

c)

c = 60 - 3p

d)

c = 60p + 3

62.

State if there appears to be a positive correlation, negative correlation, or no correlation.

a)

Positive correlation

b)

No correlation

c)

Negative correlation

63.

Which equation of the line best fits the data?

a)

y = -7.651x + 98.638

b)

y = 28133x - 69669

c)

y = -4.467x +46.562

d)

y = 6.4911x + 24.293

64.

Which inequality represents the graph?

a)

a > 0

b)

a < 0

c)

a < 0

d)

a > 0

65.

Solve the inequality and graph its solution.

a)

A

b)

B

c)

C

d)

D

66.

Solve the inequality and graph its solution.

a)

A

b)

B

c)

C

d)

D

67.

Solve the inequality and graph its solution.

a)

A

b)

B

c)

C

d)

D

68.

Solve the inequality and graph its solution.

a)

A

b)

B

c)

C

d)

D

69.

Solve the inequality and graph its solution.

a)

A

b)

B

c)

C

d)

D

70.

Solve the inequality and graph its solution.

a)

A

b)

B

c)

C

d)

D

71.

Solve the absolute value equation, if possible. $\left|2v+8\right|=12$

a)

v = -3 or v = 7

b)

v = 2

c)

v = 2 or v = -10

d)

v = 6 or v = -10

72.

Solve the absolute value equation, if possible.
$\left|x+4\right|+1=13$

a)

x = 0

b)

x = 0 or x = -0.25

c)

x = 8 or x = -16

d)

no solution

73.

Solve the absolute value equation, if possible.
$2\left|3x-6\right|-10=20$

a)

no solution

b)

x = 9 or x = -8

c)

x = 7 or x = -3

d)

x = -1 or x = 1/9

74.

The highest point in the United States is Mount McKinley in Alaska at an elevation of 6198 meters. The lowest point in the United States is Death Valley, California at an elevation of -86 meters.

Write a compound inequality that represents the possible elevations, e, of land in the United States.

a)

e > -86 meters

b)

e < 6198 meters

c)

-86 < e < 6198

d)

-86 > e > 6198

Algebra 1st Semester Review

Total questions: 74

Worksheet time: 54mins

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