Free Printable Algebra 1 End of Course Review

1.

a)

Function

b)

Not a Function

2.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

3.

A sporting goods store sells left haded (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

4.

Which of the following linear equations has a slope of -3 and a y-intercept at (0, 3)?

a)

y = 3x - 3

b)

y = -3x + 3

c)

y = 3x

d)

y = x + 3

5.

Which of the following linear equations has a y-intercept at (0, 2)?

a)

y = 2x

b)

y = x - 2

c)

y = x + 2

d)

y = 1 + 2x

6.

You are laying bricks for a patio. Every row has 20 bricks in it. Write a function that represents the number of bricks (y) you lay in x rows.

a)

y= x+20

b)

y=20

c)

y=20x

d)

20 = x

7.

Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?

a)

y = 150 + 40

b)

y = 40x + 150

c)

y = 150x + 40

8.

What percentage of males drive sports cars?

a)

35%

b)

16.25%

c)

65%

d)

25%

9.

A survey explored the relationship between gender and band class. Which is a reasonable conclusion?

a)

There are more band members than non-band members

b)

There are more boys in the class than girls

c)

There are more boys in band than not in band

d)

More than half of the bands members in the class are girls

10.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

11.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

12.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

13.

Is this exponential growth or decay?

a)

Growth

b)

Decay

14.

The factored form of a quadratic equation is (x +2)(x + 3). Which shows this equation in standard form?

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

15.

Factor

n² + 5n - 6

a)

(n - 2)(n - 3)

b)

(n - 1)(n + 6)

c)

(n + 1)(n - 6)

d)

(n + 2)(n - 3)

16.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

17.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

18.

Does this graph have a maximum or minimum?

a)

Minimum

b)

Maximum

19.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

20.

a)

a

b)

b

21.

What is the median?

a)

62

b)

58

c)

66

d)

60

22.

Which box and whisker plot has the highest median?

a)

Top plot

b)

Bottom plot

23.

Describe the correlation in the graph shown.

a)

Strong Negative

b)

Strong Positive

c)

Weak Negative

d)

Weak Positive

24.

Which sentence describes the relationship shown on this scatter plot?

a)

As the temperature decreases, the visitors increase.

b)

As the temperature increases, the number of visitors increases.

c)

As the visitors increase, the temperature decreases.

d)

No correlation

25.

What is the range of the graph?

a)

y≥1

b)

x≥1

c)

All real numbers

d)

none of these

26.

What is the domain of the graph?

a)

y≥1

b)

x ≥ 1

c)

All real numbers

d)

none of these

27.

What is the difference between an expression and an equation?

a)

Expressions have an equal sign and equations do not.

b)

Equations have an equal sign and expressions do not.

28.

Which of the following is an algebraic EXPRESSION?

a)

3 + 17 − k

b)

3x − 45 = b

c)

25x = 80

d)

9m + 4 > 13

29.

Which of the following is an algebraic EQUATION?

a)

3 + 17 − k

b)

3x − 45 = b

c)

25x + 80

d)

9m + 4 > 13

30.

Which of the following is an algebraic INEQUALITY?

a)

3 + 17 − k

b)

3x − 45 = b

c)

25x + 80

d)

9m + 4 > 13

31.

A TV company charges a one-time installation fee and a monthly service charge. The total cost is modeled by the function $y=40+90x$ .

Which statement represents the meaning of EACH part of the function?

a)

y is the total cost, $90 is the inital fee, and $40 is the rate PER month

b)

y is the total cost, $40 is the inital fee, and $90 is the rate PER month

c)

x is the total cost, $90 is the inital fee, and $40 is the rate PER month

d)

x is the total cost, $40 is the inital fee, and $90 is the rate PER month

32.

Scott works on cars. He charges $35 for each car plus $7 per hour. The expression, $7x+35$ , represents the total charge if Scott works on a car.

If Scott works on a car for 8 hours, what would be the total?

a)

287

b)

$91

c)

$50

d)

$42

33.

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

a)

$x=0$

b)

$x=12$

c)

$x=-3$

d)

$x=-6$

34.

Solve: $5x-14=8x+4$

a)

$x=6$

b)

$x=-6$

c)

$x=-\frac{18}{3}$

d)

$x=\frac{10}{3}$

35.

Solve: $4=2\left(x+3\right)$

a)

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

b)

$x=\frac{7}{2}$

c)

$x=-1$

d)

$x=5$

36.

Solve: $3x+2\left(4x-4\right)=3$

a)

$x=4$

b)

$x=3$

c)

$x=2$

d)

$x=1$

37.

Determine if the equation shown has one solution, no solution, or infinitely many solutions.

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

38.

Determine if the following has no solution, one solution, or infinitely many solutions.

$8m+12=2\left(4m+6\right)$

a)

No Solution

b)

One Solution

c)

Infinitely Many Solutions

39.

Determine if the following equation has one solution, no solution, or infinitely many solutions.

$14-2\left(3p+1\right)=6\left(4+p\right)$

a)

No Solution

b)

One Solution

c)

Infinitely Many Solutions

40.

Write an equation for the line shown by counting the slope and identifying the y-intercept.

a)

y = -2x + 2

b)

y = 2x + 2

c)

y = 1/2x- 2

d)

y = -1/2x + 2

41.

Convert to the following equation to slope-intercept form:

5x + 3y = 12

a)

3y = -5x + 12

b)

5x = -3y + 12

c)

y = -5/3x + 4

d)

x = -3/5y + 12/5

42.

Which equation is being represented by this line?

a)

y = -1x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

43.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

44.

This system has _____ solutions

a)

no

b)

1

c)

2

d)

Infinitely many

45.

What is the solution?
(Hint: Both lines are graphed over each other)

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

46.

Simplify the expression so that it contains only positive exponents.

a)

b)

c)

d)

47.

Find the equation of the line that passes through the points:

(2, 2) and (3, 4)

a)

y = 2x + 2

b)

y = -2x - 2

c)

y = -2x + 2

d)

y = 2x - 2

48.

Write equation of the line containing (0,5) and (2,-1)

a)

y = -2x + 5

b)

y = -3x +5

c)

y = 2x + 5

d)

y = 3x + 5

49.

Write an equation of a line in slope-intercept form that has a slope of 4 and goes through the point (-2, -3).

a)

y=4x+5

b)

y=4x-3

c)

y=4x-5

d)

y=4x

50.

Write the equation of the line in slope-intercept form with slope m = 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

51.

Find the equation of the line that passes through the points:

(-2, 4) and (1, 10)

a)

y = 2x - 1

b)

y = -2x + 1

c)

y = 2x

d)

y = -2x

52.

Find the equation of the line that passes through the points:

(-2, 4) and (1, 10)

a)

y = 2x - 1

b)

y = -2x + 1

c)

y = 2x

d)

y = -2x

53.

Identify the parent function of the graph.

a)

Quadratic

b)

Square Root

c)

Absolute Value

d)

Cubic

54.

Identify the parent function of the graph.

a)

Quadratic

b)

Rational

c)

Absolute Value

d)

Cubic

55.

Identify the parent function of the graph.

a)

Rational

b)

Logarithmic

c)

Exponential

d)

Square Root

56.

What type of function is shown?

a)

absolute value

b)

quadratic

c)

linear

d)

exponential

57.

What type of function is shown?

a)

linear

b)

quadratic

c)

square root

d)

absolute value

58.

What type of function is shown?

a)

exponential

b)

linear

c)

quadratic

d)

square root

59.

Whats the vertex of $f\left(x\right)=\left(x-2\right)^2-5$

a)

(2,-5)

b)

(2,5)

c)

(-2,-5)

d)

(-2,5)

60.

What is the vertex of $f\left(x\right)=\left(x+4\right)^2$

a)

(0,4)

b)

(4,0)

c)

(-4,0)

d)

(0,-4)

61.

What is the vertex of $f\left(x\right)=x^2-3$

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

62.

$f\left(x\right)=\left(x+2\right)^2-2$ What is the vertex of

a)

(-2,-2)

b)

(-2,2)

c)

(2,-2)

d)

(2,2)

Algebra 1 End of Course Review

Total questions: 62

Worksheet time: 2hrs 4mins

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