Download Review Introduction to Algebra

Review
Introduction to Algebra
Simplify.
1) 5(2x - 4) - 4(x - 1)
1)
Solve for the variable.
2) -0.5x = 8.95
2)
Simplify.
3) 5(4x - y) - 2(x - y)
3)
Solve for the variable.
4) -7 - 8x = 41
4)
Simplify.
5) 5(8x + 4) - 7(x + 1)
5)
Translate the English sentence into an equation using the variables indicated.
6) The length of a rectangle is 7 meters shorter than three times the width.
Use l for the length and w for the width of the rectangle.
Solve for the variable.
8
1
7) = x +
9
9
7)
Simplify.
8) 5(2x + y) + 4(x + y)
8)
Write an algebraic expression for each quantity using the given variable.
9) The first angle of a triangle is one-third the second angle. The third angle
of the triangle is four times the second angle. Use the variable s.
Solve.
6)
10) -3x - 4(x + 1) = -4(2x - 3)
9)
10)
Simplify.
11) 6(-4x + 5)
11)
Solve for the variable.
4
12) x = -8
3
12)
Simplify.
13) 2(7x - 5y + 3z - 6)
13)
1
Combine like terms.
14) 6x - 4 + 4x + 9
14)
Translate the English sentence into an equation using the variables indicated.
15) During a football game, the Raptors scored 9 points more than four times
the number of points scored by the Marlins. Use r to represent the number
of points the Raptors scored and m to represent the number of points the
Marlins scored.
15)
Combine like terms.
16) -3x - 7.4y + 9.2x - 4.4y - 6.2x + 11.8y
16)
Solve for the variable.
17) x - 14.1 = -8.4
17)
Write the equation without multiplication signs.
18) T = 4 × f - 5 × v
18)
Combine like terms.
19) x + 4y + 6 - 6x - 6y - 11
19)
Translate the English sentence into an equation using the variables indicated.
20) The ratio of brick houses to wooden houses in a particular city is 2 to 7. Let
b = the number of brick houses and w = the number of wooden houses.
20)
Simplify.
21) (-3)(x - 3)
21)
Combine like terms.
22) -5x - 8x
22)
Solve for the variable.
1
23) - z = -7
9
Solve.
23)
24) 12x + 14 = 194
24)
Solve for the variable.
3
3
25) x + = 5
20
25)
Translate the English sentence into an equation using the variables indicated.
26) The product of your hourly wage and the amount of time worked is $850.
Let h = the hourly wage and t = the number of hours worked.
2
26)
Answer Key
Testname: INTRODUCTORY ALGEBRA
1)
2)
3)
4)
5)
6)
6x - 16
-17.9
18x - 3y
-6
33x + 13
l = 3w - 7
7
7)
9
8) 14x + 9y
1
9) s = measure of the first angle;
3
10)
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)
s = measure of the second angle;
4s = measure of the third angle
16
-24x + 30
-6
14x - 10y + 6z - 12
10x + 5
r = 4m + 9
0
5.7
T = 4f - 5v
-5x - 2y - 5
b
2
=
w 7
21) -3x + 9
22) -13x
23) 63
24) 15
3
25) 4
26) ht = 850
3