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# Try our Free Online Math Solver! Online Math Solver

 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Reduce All Fractions to Lowest Terms 1. 5/2

Keep the common denominator, add the
numerators
, reduce. 2. 23/20

a. Use common denominator of 20. b. use “ the formula  3. 7/12

Use common denominator of 12  4. 2/35

a. Use C.D. of 35 b. Use the formula  5. 4/3

a. Multiply numerators , multiply denominators;
reduce b. reduce first  6. 7/6

Invert and multiply You could also reduce before you multiply 7. 1

Invert and multiply  8. -1/20

Using the formula: B. Numbers

1. Define “rational number” A fraction ; a number
that can be written as the ratio of two integers .
It will be a terminating or repeating decimal.

2. Circle the integers : 2, -2, 0
Integers are not fractions, but they can be positive
or negative.

 3. -|-8| = -(8) 3. -8

Circle T or F

 4. |12| = |-12| 4. T 5. -(-8) = 8 5. T 6. -5 < -4 6. T 7. |-5| ≥ |-4| 7. T 8. 4 ≤ 4 8. T

C. Perform the indicated operations

 1. 2 - (-6) = 2 + 6 1. 8 2. -4 + 7. Start at -4, go 7 steps right. 2. 3 3. -7 - (-10) = -7 + 10 3. 3 4. -6 - 3. Start at -6; go 3 steps left. 4. -9 5. 7 + (-5) = 7-5 5. 2 6. (4)(3) 6. 12 7. (4)(-3) 7. -12 8. (-4)(-3) 8. 12 9. -12 ÷ (-4) = -12·(-1/4)> multiplying two negatives gives a positive 9. 3 10. -2/3 ÷ (1/3) = -2/3·(3/1) 10. -2

D. Use the order of Operations

 1. 3 + 2·4 = 3 + 8 1. 11 2. 12 - 3(4 - 1) = 12 - 3(3) = 12 - 9 2. 3 3. 1 + 3[17 - 3(2 + 3)] = 1+ 3[17 - 3(5)] = 1+ 3[17 - 15] = 1+ 3 = 1+ 6 3. 7 4. 4 (7 - 5) = 4(2) 4. 8

E. Simplify each expression . Write “CBS” if it cannot be simplified

 1. 4n + 8x + 5x + 3n Combine like terms 1. 7n + 13x 2. 3ab + 4a. Unlike terms 2. CBS 3. 4a + 3b - 5 + 2(a + 2b + 1) remove brackets =4a + 3b - 5 + 2a + 4b + 2 combine like terms 3. 6a + 7b - 3 4. 5x + 3x2 Unlike terms 4. CBS

F. Properties
1. Which property says that a + b = b + a
1. commutative

2. Which property says that (ab)c = a(bc)
2. associative

3. use the distributive property to rewrite: -3(- 4y + 5)
3. 12y - 15

G. Rewrite each equation by : removing fractions, decimals and brackets and combining like terms
You need not solve 3x - 20 = 4 1. 3x - 20 = 4 3(x - 2) = 12 || distribute bracket 3x - 6 = 12 || +6 2. 3x - 6 = 12 Multiply x 4 3x + 2 = 8 3. 3x + 2 = 8 4. .4x + 4.2 = 5 Move all decimals one place 4x + 42 = 50 4. 4x + 42 = 50 5. .3 + .04x = .42 Move all decimals two places 30 + 4x = 42 5. 30 + 4x = 42

H. Linear Equations . Solve each of the following for x

 1. x - 8 = 12 add 8 to both sides 1. x = 20 2. x - 2 = -7 add 2 to both sides 2. x = -5 3. 5x -5 = 20 add 5 to both sides 5x = 25 divide by 5 3. x = 5 4. -3x = -12 divide by -3. negative ÷ negative = positive 4. x = 4 5. -6x + 5 = 29 subtract 5 -6x = 24 divide by -6 x = -4 5. x = -4 multiply by 4 3x - 8 = 4. add 8 3x = 12. divide by 3 x = 4 6. x= 4 Multiply by 4 3(x - 2) = 12. Distribute to remove bracket 3x - 6 = 12. Add 6 3x = 18. Divide by 3 x = 6 7. x = 6 8. 8x - 4 = 5x + 11 subtract 5x 3x - 4 = 11. add 4 3x = 15. divide by 3 x = 5 8. x = 5 9. 5x – 4 = 8x - 16 subtract 5x -4 = 3x -16. add 16 12 = 3x. Divide by 3 4 = x 9. x = 4 10. -.7x + 5 = .3x + 2 multiply by 10 (move all decimals one place) -7x + 50 = 3x + 20. add 7x 50 = 10x + 20.   subtract 20 30 = 10x    divide by 10 3 = x 10. x = 3

I. Inequalities. Solve and Graph

1. 4 + 3x ≥ 11  1. x 7/3
3x ≥ 7
x ≥ 7/3 2. 2 - 4x > 14   2. x < -3
-4x > 12. Divide negative 4. Reverse the inequality
x < -3 3. 0 < 4x + 12 ≤ 20   3. -3 < x  2
subtract 12 from all three parts
-12 < 4x ≤ 8. Divide by 4
-3 < x ≤2 Prev Next