Download Exam 1 Review Math 1314

Exam 1
Math 1314
Review Sheet
Solve the linear inequality. Other than , use interval notation to express the solution set and
graph the solution set on a number line.
1) -6(5x + 7) < -36x - 6
1)
Solve the radical equation, and check all proposed solutions.
2) 3x - 2 = 2
3) x - 3x - 2 = 4
2)
3)
Find the product and write the result in standard form.
4) (9 + 8i)(6 - 6i)
5) (6 - 2i)2
4)
5)
1
Solve the absolute value equation or indicate that the equation has no solution.
6) 3 x - 3 = 18
7) 3x + 2 = x - 5
6)
7)
Solve the polynomial equation by factoring and then using the zero product principle.
8) 4x4 = 32x
8)
Solve the equation by completing the square.
9) x2 - 2x - 3 = 0
9)
10) x2 - 6x + 34 = 0
10)
2
Solve the equation by factoring.
11) 12x2 + 23x + 10 = 0
11)
12) x2 + 4x - 45 = 0
12)
Solve the equation by making an appropriate substitution.
13) x4 - 13x2 + 36 = 0
13)
Solve the equation by the square root property.
14) (x - 3)2 = 36
14)
15) 3x2 = 48
15)
3
Factor the trinomial, or state that the trinomial is prime.
16) x2 + 11x + 18
17) 5x2 + 16x + 12
16)
17)
Solve the equation using the quadratic formula.
18) x2 - 6x + 25 = 0
18)
19) x2 + 6x - 16 = 0
19)
First, write the value(s) that make the denominator(s) zero. Then solve the equation.
10
5
=
+ 30
20)
20)
x
2x
4
21)
8
5
15
+9=
+
x
2x
4
21)
Solve and check the equation.
22) 5x5/2 - 25 = 0
22)
Solve and check the linear equation.
23) (-9x + 7) - 7 = -8(x + 2)
23)
Add or subtract as indicated and write the result in standard form.
24) (8 + 6i) - (-9 + i)
24)
Solve the equation.
2x x
= +5
25)
5
3
25)
5
Solve the absolute value inequality. Other than
and graph the solution set on a number line.
26) |x + 7| + 5 7
, use interval notation to express the solution set
26)
Factor by grouping. Assume any variable exponents represent whole numbers.
27) x3 + 8x + 4x2 + 32
27)
Determine whether the equation is an identity, a conditional equation, or an inconsistent
equation.
28) -8x + 4(-2x - 4) = -28 - 4x
28)
Divide and express the result in standard form.
5
29)
5+i
29)
6
Solve the compound inequality. Other than
graph the solution set on a number line.
30) -7 -2x + 3 < -1
, use interval notation to express the solution set and
30)
Factor the difference of two squares.
31) 81x2 - 4
31)
7
Answer Key
Testname: UNTITLED2
1) (- , 6)
2) {2}
3) {9}
4) 102 - 6i
5) 32 - 24i
6) {9, -3}
7) - 7 , 3
2 4
8) {0, 2}
9) {-1, 3}
10) {3 ± 5i}
11) - 5 , - 2
4
3
12) {-9, 5}
13) {-2, 2, -3, 3}
14) {-3, 9}
15) {-4, 4}
16) (x + 9)(x + 2)
17) (5x + 6)(x + 2)
18) {3 - 4i, 3 + 4i}
19) {-8, 2}
20) x 0; 1
4
21) x 0; - 22
21
5
22)
25
23) {16}
24) 17 + 5i
25) {75}
26) [-9, -5]
27) (x + 4)(x2 + 8)
28) Conditional equation
29) 25 - 5 i
26
26
30) (2, 5]
31) (9x + 2)(9x - 2)
8