Algebra Test 2

Translate into Mathematical Equation

100

A number increased by 70

x + 70

200

25 less than a number

x - 25

300

The product of 24 and a number

24x

400

The ratio of a number to 4

x divided by 4

500

The quotient of a number and 2

x divided by 2

Distributive Property

100

4(15 + 7)

60 + 28 = 88

200

3(20 + 9)

60 + 27 = 87

300

7(40 + 7)

280 + 49 = 329

400

9(1 + 90)

9 + 810 = 819

500

6(25 +7 + 15) 

150 + 42 + 90 = 282

Evaluate (Lesson 11)

100

4x + 9 for x=3

4(3) + 9 = 12 + 9 = 21

200

7b - 5 for b = -4

7(-4) - 5 = -28 - 5 = -33

300

-3k + 8 for k = 5

-3(5) + 8 = -15 + 8 = -7

400

3t² - 9t + 10 for t = 2

3(2)² - 9(2) + 10 = 3(4) - 18 + 10 = 12 - 18 + 10 = -6 + 10 = 4

500

2r² - 4r + 7 for r= -2

2(-2)² - 4(-2) + 7 = 2(4) +8 + 7 = 8 + 8 + 7=23

Adding/Subtracting Polynomials

100

  (7x² + 5x + 6) 

-(3x² + 2x + 4)

4x² + 3x + 2

200

   7x²+ 4x + 6

+ 3x² + x + 2

10x² + 5x + 8

300

   6x² + 2x + 6

+ 3x² - 3x - 2

9x² -x + 4

400

  (4x² - 2x + 5)

- (x² - 3x)

3x² + x + 5

500

    3x²       + 5

+ 2x² + 6x - 7

5x² + 6x - 2

Multiply Polynomials

100

3a(4ab²)

12a²b²

200

5c³(9cd²)

45c⁴d²

300

7e³(6ef²)

42e⁴f²

400

2g²(11g²h²)

22g⁴h²

500

2j³(7k²) (j²k⁴)

14j⁵k⁶