Download Algebra I

Algebra I
Midterm Review
Name:___________________________
Date:_______________Block:________
This packet is intended to provide a review for the material we have covered. It may or may not have an
example of every type of problem you will have on the midterm. This packet is not the sole item for you to
use as review – you should use all materials from the beginning of the year until January exam week.
Chapter 1
1.
Write a variable expression for
“7 divided by the sum of x and 5”
2.
Simplify: 8 • 32 – 4
3.
Write an algebraic expression for
“three less than 5 times a number x”
4.
Write an algebraic expression for
“three times the difference of a number
x and 5”
5.
When the product of 4 and a number is
decreased by 5, the result is 12. Find
the number.
6.
Simplify:
7.
Simplify: -[-(4 + 3)]
8.
Evaluate: n3 when n is 5
2.
Find the sum of the matrices
(-7) + 6 + [-(2 – 3)]
Chapter 2
1.
Find the sum of the matrices
+
3.
Perform the indicated operation
4.
Find the difference of the matrices
5.
Find the product: (-7)(3)(-6)
6.
Find the product:
8
7.
Simplify: 720 ÷ (4 • 9 ÷ 3)
8.
Find the product:
(-8)
9.
Simplify:
4 • 0.5 + 22 – 4 + 3.1 • 3
10.
Simplify:
11.
Simplify:
3(2 – x) – 2(3 – x)
12.
Find the product: (3x)(-4y)(-5)
4 ÷ 22 – 3.1 + 4.5 • 4
Chapter 3
1.
Solve: 4x + 4 = 12
2.
Solve:
3n + 16 – n = 34
3.
Solve: 3 – 4z = -5 + 8z
4.
Solve:
5x – 9 = x – 3
5.
Solve: 5x + 14 – 2x = 9 – (4x + 2)
6.
Solve:
(5 + 2) – x(x + 1) = x(2 – x)
7.
Solve: 7x – 29 – 21x = 3 – (12 + 2x)
8.
The trapezoid below has a perimeter of
20. Solve for x.
x+2
3x + 2
x
8
9.
Write the equation as a function of s:
7 = t + 8s
10.
Write 9x – 4y = 5 as a function of y.
2.
Graph 6y + 12 = 0
4.
Write the equation for the vertical line
Chapter 4
1.
Graph x = 3
3. Which point lies on the graph of 2x or
= 3?
passing through the point (-5, 2).
5.
State the x- and y-intercepts of
y = -7x + 7
6.
State the x- and y-intercepts of
7x + y = 3
7.
Find the slope of the line passing through
the points A(-5, -6) and B(2, -7).
8.
9.
Find the slope of the line that contains (9, 7)
and (9, 9).
10.
11.
Write the variation and find the quantity indicated. 12.
x varies directly with y. If x is 144 when y is 160,
find x when y is 30.
13.
Rewrite the equation in slope-intercept form.
5x – 2y – 7 = 0
14.
Rewrite the equation in slope-intercept
form. 8x – 3y – 5 = 0
15.
Find the slope and y-intercept of the line:
6x – 3y = 36
16.
Find the slope and y-intercept of the
line: 4x + 2y = 24
Find the slope of the line passing through
the points A(6, 5) and B(-4, -7).
Find the slope of the line through the
(4, 7) and (-6, 2).
The weight, W, of a plank varies directly
with its length, l. A 7.5 foot plank weighs
30 pounds. Write an equations relating
W and l.
17.
Solve for y:
4x – 5y = 0
18.
Solve for y:
19.
Write in slope-intercept form and sketch
line: 3x – y – 2 = 0
20.
Write in slope-intercept form and sketch
line: 4x +3y – 8 = 0
21.
Solve for y in 8x – 7y = -1. Determine if the
22.
line is parallel to y = x +
23.
.
Is the relation {(1, -2), (3, -2), (-6, -2)} a
function?
7x + 2y = 0
Find the slope and y-intercept of the line
y = 5x – 9. Is the line parallel to y = -5x – 9?
24.
Decide whether the information defines
a function. If it does, state the domain
of the function.
input 0 1 2 3 4
output 1 2 3 2 1
Chapter 5
1.
Find an equation, in slope-intercept form,
of a line having slope 5 and y-intercept -8.
2.
Write an equation of the line with slope
equal to and y-intercept of -4.
3.
Write the equation 5y – 2x = 3 in slopeintercept form.
4.
Write the equation y – 2 = (x + 6) in
slope-intercept form.
5.
Write an equation of a line with slope 7
passing through the point (-7, 1).
6.
Find the y-intercept of a line that passes
through (3, 1) and has a slope of -3.
7.
Find an equation of the horizontal line that
passes through the point (7, -3).
8.
Write the equation of the vertical line
that passes through the origin.
9.
Write an equation for the line containing
(1, 2) and (4, 5).
10.
Write the equation of the line in slopeintercept form that passes through the
points (7, -1) and (2, 9).
11.
Write the equation of the line in slopeintercept form that passes through the points
(7, -1) and (2, 8).
12.
Write a point-slope equation of the line
that passes through the points (-1, 6)
and (-5, 5). Use (-1, 6) as the point (x1, y1).
13.
Write an equation for the line, in point-slope
form, that passes through the points (-3, 7)
and (4, 4). Use (-3, 7) as the point (x1, y1).
14.
Write y = -2x -
in standard form.
15.
Write the standard form of the equation of the
line with slope -1 passing through the point
(6, -4).
17.
Which of the following lines are parallel to each other?
2x – 6y = 3
6x + 2y = 3
-2x + 6y = 3
Chapter 6
4.
3.
16.
Rewrite the equation y = x – 4 in
standard form with integer coefficients.
11.
y < 2x – 6
12.
y ≥ 4x + 8
13.
2x + 4y ≤ 14
14.
x – 3y > -6
15.
Solve -2 < -3x + 7 ≤ 10
16.
Solve -7x > -21 or 3x > 18