Free Printable Algebra 1 Final Review (Extra)

1.

Solve the following:
-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

2.

Who is correct?

Sallie

$16\div2\times8=64$

Brian

$16\div2\times8=1$

a)

Sallie

b)

Brian

c)

I'm not sure

d)

Both

3.

Simplify the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

4.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

5.

What is the simplified version of this expression? $-4(8r+3)$

a)

$-32r-12$

b)

$32r-12$

c)

$-32r+12$

d)

$32r+12$

6.

What is the simplified version of this expression? $7\left(5x-1\right)$

a)

$35x+7$

b)

$35x-1$

c)

$35x-7$

d)

$-35x-7$

7.

Simplify the expression:
3(2h + 3c + 2)

a)

6h + 9c + 2

b)

6h + 9c + 6

c)

2h + 3c + 6

d)

5h + 6c + 5

8.

Is this table a function or not a function?

a)

Function

b)

Not a Function

9.

Does this mapping diagram represent a function?

a)

No, because an input value goes to multiple output values

b)

Yes, because each input goes to one and only one output

10.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

11.

Is this table a function or not a function?

a)

Function

b)

Not a Function

12.

Function notation

If f(t) = t² - t,find f(-8)

a)

-72

b)

-56

c)

56

d)

72

13.

Evaluate f(-5) if f(x) = -2x - 12

a)

-22

b)

-2

c)

-19

d)

-5

14.

$-7-2x=1-x$

a)

$x=-16$

b)

$x=-8$

c)

$x=10$

d)

$x=-10$

15.

$6k+2k=-6+8k-2+8$

a)

All real numbers

b)

$k\ =\ 4$

c)

$k=16$

d)

No solution

16.

$3+x=x-2$

a)

$x=-8$

b)

No solution

c)

$x=-4$

d)

$x=-5$

17.

$2-4x=5x+2$

a)

$x=16$

b)

All real numbers

c)

$x=-9$

d)

$x=0$

18.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

19.

$-118=-5\left(4+7x\right)+7$

a)

$-5$

b)

$-9$

c)

$3$

d)

$-1$

20.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

21.

The slope of the line that passes through:
(-4, 7) and (-6, -4) is (a) .

Choose from the below words

2/11

13/2

3/10

11/2

22.

The slope of the line that passes through:
(5, -10) and (5, -4) is (a) .

23.

Find the slope of the line that passes through:
(-3, -4) and (7, 6)

24.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

25.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

26.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

27.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

28.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

29.

Graph the linear equation.

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

30.

Solve:
y = -1x - 5
4x - 8y = 4

a)

(-3, -2)

b)

(5, -7)

c)

(3, 9)

d)

(-5, 4)

31.

Solve:
y = 7x + 9
2y + 2x = -18

a)

(5, 0)

b)

(9, 18)

c)

(-2, -5)

d)

(1, 16)

32.

Solve:
x = -3y - 17
2x + 3y = -7

a)

(1, -20)

b)

(3, 0)

c)

(-5, -2)

d)

(10 , -9)

33.

Solve:
y=8x+1
y=6x+3

a)

(1, 9)

b)

(4, 14)

c)

(0, 1)

d)

(2, 4)

34.

x²+4x-32=0

a)

x= -8, 4

b)

x= 8, -4

c)

x= -8, -4

35.

Solve using the Zero-Product Property.

(x + 4)(x − 3) = 0

a)

x = 4 and x = −3

b)

x = 2 and x = 1

c)

x = −4 and x = 3

d)

x = −2 and x = 1

36.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

37.

$x^2-7x+10=0$

Solve using the quadratic formula

a)

0

b)

5, 9

c)

-5, 2

d)

2, 5

38.

$2x^2-14x+24=0$

Solve using the quadratic formula

a)

-4, 3

b)

0

c)

4, 3

d)

-3, 4

39.

Use the picture to find the vertex and axis of symmetry.

a)

Vertex: (8, 3); axis of symmetry: y=3

b)

Vertex: (8, 3); axis of symmetry: x=3

c)

Vertex: (3, 8); axis of symmetry: y=3

d)

Vertex: (3, 8); axis of symmetry: x=3

40.

Using the graph of the quadratic function, identify the vertex.

a)

(4, -6)

b)

(0, 2)

c)

(.5, 0)

d)

(7.5, 0)

41.

Which of the following graphs appropriately marks the axis of symmetry?

a)

b)

c)

d)

42.

Find the product:

$\left(3x\ +\ 2\right)\left(2x\ +\ 4\right)$

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

43.

Find the product.

$\left(3x\ -\ 1\right)\left(x\ +\ 5\right)$

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

44.

Find the product: $\left(n\ -\ 5\right)\left(n\ -\ 1\right)$

a)

n² - 5n + 5

b)

n² - 6n + 5

c)

n²+ 5

d)

n² + 6n + 5

45.

Find the product:

$\left(2x-7\right)\left(x+2\right)$

a)

$2x^2-5x+4$

b)

$2x^2+3x+14$

c)

$2x^2-3x-14$

d)

$x^2+3x-14$

46.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

47.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

48.

The leg of a triangle is 24 and its hypotenuse is 25. What is the length of its other leg?

a)

5

b)

12

c)

8

d)

7

49.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

50.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

51.

Find x.

a)

14.3

b)

7.3

c)

31.4

d)

35.2

52.

Find x.

a)

42.9

b)

21

c)

33.3

d)

21.9

53.

Find x.

a)

41.8

b)

48.2

c)

33.7

54.

Find x.

a)

28.9

b)

61.1

c)

64.2

d)

25.8

55.

Find x.

a)

12.8

b)

77.2

c)

12.5

d)

77.5

Algebra 1 Final Review (Extra)

Total questions: 55

Worksheet time: 3hrs 35mins

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