2. 4 m + 2 6 m – 3 = Apply cross product property 4 6 = (m – 3) (m + 2) 4m + 8 = 6m – 18 Distribute Subtract – 6m − 2m + 8 = − 18 Subtract − 2m = − 26 Divide 13 = m Algebra I Concept Test # 3 – Fractions, Decimals and Eq. Practice Test 1.Solve: – 8 − 2 © 2007-09 by S-Squared, Inc. All Rights Reserved.

3. Algebra I Concept Test # 3 – Fractions, Decimals and Eq. Practice Test 2.Solve: │3x – 6│ + 2 = 11 Add x = 5 Divide x = 5 and x = 3 + 6 3 3x – 6 = 9 Add 3x = 15Divide Note: Isolate the absolute value. And 3x – 6 = − 9 + 6 3x = − 3 3 3 − 1 x = − 1 │3x – 6│ + 2 = 11Subtract – 2 │3x – 6│ = 9 Note: Write the two related equations.

4. Algebra I Concept Test # 3 – Fractions, Decimals and Eq. Practice Test 3.Simplify: − 3│7 – 11│ + 5 − 3│− 4│ + 5 Subtract − 3( 4) + 5 Absolute Value − 12 + 5 Multiply − 7 Add

5. Simplify: (Reduce whenever necessary) 4. = 7 12 + 1 8 2 3 2 3 Reduce Common Denominator = 5. Subtract 7 9 – 4 3 7 9 – 12 9 3 − 5 9 9 3 Algebra I Concept Test # 3 – Fractions, Decimals and Eq. Practice Test

6. Simplify: Note: To divide fractions, we invert the fraction that follows the operation and multiply. 6. = Note: When multiplying, reduce any numerator with any denominator. 5 13 ÷ 25 39 5 13 39 25 1 1 5 3 3 5 Algebra I Concept Test # 3 – Fractions, Decimals and Eq. Practice Test

7. Simplify: 7. = 2 1 7 18 1 9 7 9 Reduce Note: Rewrite 2 as fraction. Common Denominator = 8. Add 5 8 + 1 4 13 8 + 1 4 2 2 8 15 8 2 1 Note: Rewrite mixed number as improper fraction. 13 8 + 7 8 Or 1 Algebra I Concept Test # 3 – Fractions, Decimals and Eq. Practice Test

8. Note: To divide fractions, we invert and multiply. 9. = Note: When multiplying, reduce any numerator with any denominator. 2 11 ÷ 5 35 11 11 5 7 1 1 1 7 1 = 7 3 Note: Rewrite mixed number as improper fraction. 35 11 ÷ 5 Algebra I Concept Test # 3 – Fractions, Decimals and Eq. Practice Test

9. 29.15 Simplify: 10.9.82 + 4.5 9.82 Note: Line up decimal points and add. + 4.5 14.32 11.38.3 – 9.15 Note: Line up decimal points and subtract. 38.3 – 9.15 29.15

10. Algebra I Concept Test # 3 – Fractions, Decimals and Eq. Practice Test 7 Simplify: 12.8 6.3 6.3 Note: Multiply then place decimal point. x 8 50.4 13. 5.6 560 Note: Shift decimal point in numerator and denominator until the denominator is an integer. 80 0.07 Divide

11. − 56 5x + 49 = − 56 14.Solve x + 7 = − 8 7 5 5x = − 105 Multiply each term by the LCD 7 7 – 49 x = − 21 5 5 ( ( ( 7 Subtract Divide ( 15. Check your answer for #11. Substitute Simplify 7 5 (− 21) + 7 = − 8 − 15 + 7 = − 8 − 8 = − 8 Answer checked Algebra I Concept Test # 3 – Fractions, Decimals and Eq. Practice Test + 49 5x5x=

12. 6 5x 5x + 6 = 2x – 6 2x 6 6 5 1 − 6 3x = − 12 6 16.Solve x + 1 = (x – 3) 5 Multiply each term by the LCD 6 6 3x + 6 = − 6 – 2x x = − 4 3 3 3 1 ( ( ( ( 6 Subtract − 6 Divide Distribute 3 x + 1 x – 1 = Algebra I Concept Test # 3 – Fractions, Decimals and Eq. Practice Test = – +

13. 17.What mathematical operation does the fraction bar represent? (Addition, Subtraction, Multiplication, or Division) DIVISION Algebra I Concept Test # 3 – Fractions, Decimals and Eq. Practice Test 72 100 25 18.Change the decimal to a fraction. (Please reduce) 0.72 Note: The 2 is in the hundredths column; rewrite as fraction with 100 in denominator. Reduce ÷ 4 18

14. 19.Solve 1.5m – 8 = − 0.5 Algebra I Concept Test # 3 – Fractions, Decimals and Eq. Practice Test 10( ) ( )10 15m = 75 m = 5 Eliminate decimal by multiplying by 10 Divide Add 15 + 80 15 15m – 80 = − 5

15. Algebra I Concept Test # 3 – Fractions, Decimals and Eq. Practice Test 100( ) ( )100 20.Solve and place answer in decimal form: 0.09p + 0.7 = 1 – 0.31p 9p = 30 – 31p p =.75 Eliminate decimal by multiplying by 100 Add Subtract 40 – 70 40 9p + 70 = 100 – 31p + 31p 40p = 30 Divide 30 40 Reduce 3 4 Place in decimal form p = Have High Expectations!