Expressions & Exponents

Simplify!

100

4x - 5 for x = 4

4(4) - 5 

16 - 5   =   11

200

2a + 5 for a = 3

2(3) + 5

6     +  5  = 11

300

3(2y - 1)  for y = 2

3(2 (2) - 1)  = 11

400

3(6 - b)  for b = 4

3(6 - 4) 

3(2)    =  6

500

n/2 - 3 for n = 10

10/2 -3

   5   -3  =  2

Expressions

100

5x²  for x = 3

5(3)² = 45

200

4(t) + 5  for t = 3

4(3) + 5  = 17

300

2x²+ 7  for s = 4

2(4)² + 7 

2(16) + 7

32 + 7 = 39  

400

x³+ y² - z for x = 2, y = 5, z =4

2³ + 5² - 4 = 29

500

2³ + 5² - 3² 

2³ + 5² - 3²

8   + 25 - 9

33 - 9 =  24

More Expressions

100

6z² - x for z = 3, x = 7

6(3)² - 7= 47

6(9) - 7

54 - 7 = 47

200

10x³ - z for x = 3, z = 10

10(3)³ - 10 

10(27) - 10

270 - 10 = 260

300

2L² - 4W³ for L = 5, W = 2

2(5)² - 5(2)³ 

2(25) - 5(8)

50 - 40    =  10

400

5a² - 10b²  for a = 3, b = 2

5(3)² - 10(2)² 

5(9) - 10(4)

45 - 40 = 5

500

n² + 2m³ + 85 for n = 8, m = 3

8² + 2(3)² + 85 

64 + 2(9) + 85

64 + 18 + 85 = 167

Parenthesis

100

2(11 - 3z) + x + y  for  z = 2

2(11 - 3(2))

2(11-6)

2(5) = 10

200

3p - 2(5 - q) for p = 4, q = 3

3(4) - 2(5 - 3)

12 - 2(2)

12 - 4 = 8

300

(10f - 6c) + e³ for f = 10, c = 1, e = 2

(100-6) + 8 

94 +8 = 102

400

(y² - h² + 3j) for y = 4, h = 2, j = 7

(4)² - (2)² + 3(7)

16   - 4     +21   

12            +21 = 33

500

3⁴ = ?

3x3x3x3

9    x3x3

    27 x3 = 81

Exponents

100

3^{3 =}

3 x 3 x 3 = 27

200

3^{2 +} 3^{3 = ?}

3 x 3 = 9 

3 x 3 x 3 = 27

So 9+27 = 36

300

2⁴ = ?

2 x 2 x 2 x 2 = 16

400

15 + (2³ - 5) = ?

15 + (8 - 5)

15 +    3       = 18

500

4² x 10 + 6.5 = ?

16 x 10 + 6.5

160 + 6.5 = 166.5