Free Printable Algebra 1 SY22/23 Midterm Review

1.

1. Which of the following linear functions has a positive slope?

a)

b)

c)

d)

2.

Calculate the slope of the line

a)

m = 2

b)

m = -2

c)

m = 4/3

d)

m = 1

3.

Using the following information, identify an equation in slope-intercept form:

slope = 2 y-intercept = -4

a)

y = -4x + 2

b)

y = 2x + 2

c)

y = 2x -4

d)

y = -4x + 2

4.

Use the distributive property to rewrite the following expression:

2(10y + 1)

a)

20y + 2

b)

6y + 4

c)

22y

d)

20y + 1

5.

Solve the following:

10x -16 = 54

a)

x = 5

b)

x = 7

c)

x = -7

d)

x = 3

6.

2x + 6x = 88

a)

x = 7

b)

x = 10

c)

x = 11

d)

No Solution

7.

Convert the following linear equation from standard form to slope-intercept form:

-2x + 4y = 16

a)

y = -2x + 16

b)

y = 1/2x + 4

c)

y = 4x + 16

d)

y = 2x + 4

8.

Solve the following systems of equations using the substitution method:

y = -3

5x + 2y = 9

a)

(3, -3)

b)

(5, -3)

c)

(-3, -3)

d)

x = 3

9.

Given the sequence, identify the correct explicit formula: 9, 13, 17, 21

a)

$a_n$ = 5 + 2(n - 1)

b)

$a_n$ = 13 + 2(n - 1)

c)

$a_n$ = 9 + 4(n - 1)

d)

$a_n$ =19 + 2(n - 1)

10.

Given the explicit formula: f(n) = 5 + 7(n - 1) find the 10th term.

a)

68

b)

63

c)

55

d)

12

11.

Given the sequence, identify the correct common ratio (pattern): 25, 50, 100, 200, ...

a)

r = 25

b)

r = 2

c)

r = 25

d)

r = -5

12.

Given the first term and the common ratio of a geometric sequence, create the corresponding explicit formula:

$a_1\ =$ 4 and r = 3

a)

$a_n\ =\$ 6* $3^{\left(n-1\right)}$

b)

$a_n\ =$ 4* $2^{\left(n-1\right)}$

c)

$a_n\ =$ 5* $5^{\left(n-1\right)}$

d)

$a_n\ =$ 4 * $3^{\left(n-1\right)}$

13.

Given the explicit formula for a geometric sequence, find the first 3 terms of the sequence:

f(n) = 4 $\left(3\right)^{\left(n-1\right)}$

a)

4, 12, 20

b)

4, 12, 36

c)

4, 12, 16

d)

4, 3, 2, 1

14.

Given the first four terms of a geometric sequence, create the corresponding explicit formula:

32, 16, 8, 4, ...

a)

$a_n\ =\ 3\ \cdot\ 4^{\left(n-1\right)}$

b)

$a_n\ =\ 6\ \cdot\ \frac{1}{2}^{\left(n-1\right)}$

c)

$a_n\ =\ 32\ \cdot\ \frac{1}{2}^{\left(n-1\right)}$

d)

$a_n\ =\ 32\ \cdot\ \frac{2}{1}^{\left(n-1\right)}$

Algebra 1 SY22/23 Midterm Review

Total questions: 14

Worksheet time: 23mins

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