Topic 1 - equations & inequal. review

​Topic 1 Test Review

Section 1-2 &1-3 Solving Equations

Multiple Choice

Solve: 2(4x-3) - 8 = 4 + 2x

• x=5/3

• x=3

• x=1

• x=2

Multiple Choice

4(-8x + 5) = -32x - 26

• 54

• -54

• all real numbers

• no solution

Multiple Choice

The sum of three consecutive EVEN numbers is -138.  What is the smallest of the three numbers?

• -48

• -45

• -46

• -47

Multiple Choice

Solve the equation, if possible.
  $$2a-6\left(a-4\right)=\ -4$$  

• 7

• identity

• 0

• -5

Multiple Choice

Solve the equation, if possible.
  $$13k+3\left(k+11\right)=8k-7$$  

• 5

• no solution

• identity

• -5

Multiple Choice

What two consecutive even integers have a sum of 90?

• 30 and 60

• 43 and 47

• 44 and 46

• 10 and 80 

Multiple Choice

Which expressions can be used to represent the sum of 3 consecutive odd integers?

• n+1, n+2, n+3

• n, n+1, n+3

• n, n+1, n+2

• n, n+2, n+4

1-4 Literal Equations

Multiple Choice

ax + c = R
(solve for x) 

• ax = R + c

• ax = R - c

• x = a(R-c)

• x = (R-c) / a 

Multiple Choice

Which expression represents the value of x in the equation:
dx + e = f

• x = (f + e)/d

• x = (f - e)/d

• x = d/(e - f)

• x = d/(e + f)

Multiple Choice

Solve for x:

• x = yb - v

• x = by - v

• x = by + v

1-5 Inequalities

Multiple Choice

4(2a + 3) < 3(a - 1)

• a < -3

• a > -3

• a < 3

• a > 3

Multiple Choice

Solve:
7(x + 3) < 5x + 13

• x>-4

• x < 17

• x<-4

• x > -17

Multiple Choice

Solve the inequality.

8x - 2 < -2(5 - 4x)

• All real numbers

• No Solution

• x < -10

• There is one solution

Multiple Choice

Solve and graph the inequality.

• A

• B

• C

• D

Multiple Choice

Match the graph with its inequality.

• b > –2

• b < –2

• b ≥ –2

• b ≤ –2

1-6 Compound Inequalities

Multiple Choice

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

Multiple Choice

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

Multiple Choice

-2 < x - 9 < 3

• x < 12

• 7 < x

• 7 < x < 12

• x > 7 or x < 12

Multiple Choice

-8<2(x+4) or -3x+4>x-4

• No solutions

• x<-8 or x<2

•  x>-8 or x<2

• x<-8 and x<2

1-7 Absolute Value Equations and Inequalities

Multiple Choice

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4

• x = 5 and x = -5

• Only x = 5

• No Solution

Multiple Choice

Solve for x
l 4x−3 l = 17

• x = 5 and x =-3.5

• x = 0 and x = -5

• x = 10 and x = -10

• No Solution

Multiple Choice

Solve:
 |x + 3| > 8

• x > 5 or x < -11

• x > 5

• all real numbers

• no solution

Multiple Choice

Solve.
|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12

• -4 ≤ y ≤ -12

• y ≤ 4 or y ≥ -12

• -12 ≤ x ≤ 4

Multiple Choice

| x - 2 | > 3
Is this an "and"  or an "or" problem?

• and

• or