Free Printable Algebra 2022-2023 Sem. 1 Review

1.

a)

h=V/(3πr²)

b)

h=(3V)/(πr²)

c)

h=V/(3πr²)

d)

h=(3π)/(Vr²)

2.

Determine the transformation

a)

left 3, up 2

b)

right 3, up 2

c)

left 3, down 2

d)

right 3, down 2

3.

What graph matches this inequality?

a)

b)

c)

d)

4.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

a)

S + A = 530
3S + 4A = 1740

b)

S + A = 530
4S + 3A = 1740

c)

S + A = 1740
3S + 4A = 530

d)

S + A = 1740
4S + 3A = 530

5.

Which is the graph of the system of inequalities? Purple is the overlap and solution.

a)

b)

c)

d)

6.

Choose the correct equation for the graph.

a)

$y=\left|x+3\right|-4$

b)

$y=\left|x-3\right|-4$

c)

$y=\left|x+3\right|+4$

d)

$y=\left|x-3\right|+4$

7.

Solve for x.

$\frac{3}{4}\left(x-4\right)=-\frac{1}{4}\left(x-16\right)$ (Type in the number only)

(a)

8.

Solve. 2|x| - 3 = 13

a)

4

b)

-4

c)

8

d)

-8

e)

No Solution

9.

Graph. y = 2/3x - 3

a)

a

b)

b

c)

c

d)

d

10.

This graph represents a _______________ function

a)

Linear

b)

Quadratic

c)

Exponential

11.

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

a)

-32

b)

-3

c)

-12

d)

3

12.

What is the range of the graph?

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

13.

Write the equation in slope-intercept form for the line that contains the points
(3, -5) and (5, - 1)

a)

y = 2x + 11

b)

y = 2x + 1

c)

y = 2x - 1

d)

y = 2x - 11

14.

Write an equation from the table.

a)

$y=-2x+1$

b)

$y=2x+1$

c)

$y=2x-1$

d)

$y=-2x-1$

15.

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

a)

200

b)

150

c)

300

d)

75

16.

Write the equation for an absolute value function that shifts down 9 from the parent function, $y=\left|x\right|$ .

a)

$y=|x|-9$

b)

$y=|x-9|$

c)

$y=-9|x|$

d)

$y=|x|+9$

17.

Write an absolute value function given the following transformations from the parent function:

Reflection across the x-axis

Horizontal shift right 2 units

Vertical shift down 7 units

a)

$y=-|x+2|-7$

b)

$y=|x-2|-7$

c)

$y=-|x-2|-7$

d)

$y=-|x-2|+7$

18.

7 times the difference of y and 4

a)

7(y-4)

b)

4(y-7)

c)

7(4-y)

d)

4(7-y)

19.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

20.

Write the equation of a line PERPENDICULAR to y = -1/3x + 5 and passes through the point (6,4)

a)

$y=-\frac{1}{3}x+14$

b)

$y=3x+22$

c)

$y=-\frac{1}{3}x-10$

d)

$y=3x-14$

21.

Match the following

a)

The coordinate where the function crosses the x-axis. At this point, y=0.

1.

x-intercept

b)

The coordinate where the function crosses the y-axis. At this point, x=0.

2.

y-intercept

c)

Measure of how STEEP a line is, can be found using rise/run

3.

SLOPE

d)

Slope-intercept form

4.

y=mx+b

e)

Standard Form

5.

Ax+By=C

22.

An oven is turned on and set to a temperature of 425 degrees. The oven begins at 85 degrees and heats up at a rate of 20 degrees per minute.

Which equation models, in slope intercept form, the relation between the time (t) in minuets and the Temperature (T) in degrees.

a)

$T=20t+85$

b)

$T=20t+425$

c)

$T=85t+20$

d)

$T=425t-85$

23.

Which BEST describes the correlation?

a)

Weak Positive

b)

Strong Positive

c)

Weak Negative

d)

Strong Negative

24.

Which BEST describes the correlation?

a)

No Correlation

b)

Positive Correlation

c)

Negative Correlation

25.

Which BEST describes the correlation?

a)

No Correlation

b)

Positive Correlation

c)

Negative Correlation

26.

Causation or Association:

The hotter the temperature of the oven, the less time needed to cook a turkey.

a)

Causation

b)

Association

27.

Causation or Association:

The more water in a teapot, the hotter the tea.

a)

Causation

b)

Association

28.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

29.

What is the equation of the line of best fit?

a)

y = -25x + 170

b)

y = -5/8x + 170

c)

y = 25x + 170

d)

y = 5/8x + 170

30.

After performing analyses on a set of data, Mrs. Vaughan examined the residual plot of collected residual values for each analysis. Which scatter plot indicated a correct linear fit for the data?

a)

A

b)

B

c)

C

31.

a)

A

b)

B

c)

C

d)

D

32.

$-10\le\frac{4x-5}{2}<20$

a)

$-3\ \frac{3}{4}\le x<11\ \frac{1}{4}$

b)

$3\ \frac{3}{4}\le x<11\ \frac{1}{4}$

c)

$-3\ \frac{3}{4}>x\ge11\ \frac{1}{4}$

d)

$3\ \frac{3}{4}\ge x>-11\ \frac{1}{4}$

33.

What will Mr. Chan have saved after 8 months?

a)

$3600

b)

$3650

c)

$3698.72

d)

$3700

34.

Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

a)

57x + 72y ≥ 2700

b)

57x + 72y > 2700

c)

57x + 72y < 2700

d)

57x + 72y ≤ 2700

35.

Which of the following is the graph of

3x - 2y < 10

a)

b)

c)

d)

36.

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

a)

x + 2y < 240

b)

x + 2y > 240

c)

x + 2y ≤ 240

d)

x + 2y ≥ 240

37.

A sporting goods store sells left handed (x) and right handed (y) gloves. In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left handed gloves cost $52. Which system could be solved to determine the number of each type of glove sold?

a)

x + y = 561

45x+52y=12

b)

x + y = 12

52x+45y=561

c)

x + y = 12

45x+52y=561

d)

x + y = 561

52x+45y=12

38.

Find the solution to the system of equations:

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

$y\ =\ -2x\ +3$

a)

(0,0)

b)

(2,3)

c)

(2,-1)

d)

(4,5)

39.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dashed.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

40.

Which coordinate(s) point is a solution to the system of inequalities?

SELECT ALL

a)

(6,4)

b)

(2,2)

c)

(1,-3)

d)

(4,-1)

Algebra 2022-2023 Sem. 1 Review

Total questions: 40

Worksheet time: 40mins

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