Algebra Review

Evaluate the Expression

100

y÷2 +  x; when  x = 1, and  y = 2

What is 2?

200

y2 −  x; when  x = 7, and   y = 7

What is 42?

300

p2 + m; when m = 1, and p = 5

What is 26?

400

z(x + y); when x = 6, y = 8, and z = 6

What is 84?

500

z − (y÷3 − 1); when y = 3, and z = 7

What is 7?

Combining Like Terms

100

12r + 5 + 3r − 5

What is 15r?

200

−4 + 7(1 − 3m)

What is 3 - 21m?

Or: What is -21m + 3?

300

   −9(6m − 3) +  6(1 + 4m)

What is -50m + 33?

Or: What is 33 - 50m?

400

(5x²)(7x⁴)

What is 35x⁶?

500

(4x²)(3x⁴)(2y²)

What is 12x⁶2y²?

Solve the Equation

100

6 = a/4 + 2

What is a = 16?

200

2(n + 5) = −2

What is n= -6?

300

−8 =  −(x + 4)

What is x = 4?

400

−5(1 − 5x) +  5(−8x − 2) =  −4x − 8x

What is x = 5?

500

(5x−9)/5 + (9(x+1))/4

What is (65x - 31)/20?

Inequalities

100

Solve the inequality.

n - 6 < -14

What is n < -8?

200

(n/3) > 3

What is n > 9?

300

(-1/3)q < 2

What is q > -6?

400

(18 - 8a)/a > -10

What is a > -9?

500

(3q + 1)/2 > 4q -7

What is q < 3?

Polynomials

100

(5p² − 3) +  (2p² − 3p³)

What is -3p³ + 7p² - 3?

200

   (4r³ + 3r⁴) −  (r⁴ − 5r³)

What is 2r⁴ + 9r³?

300

(12a⁵ − 6a − 10a³) −  (10a − 2a⁵ − 14a⁴)

What is 14a⁵ + 14a⁴ - 10a³ - 16a?

400

(4x² + 7x³y²) −  (−6x² − 7x³y² − 4x) −  (10x + 9x²)

What is 14x³y² + x² - 6x?

Or: x(14x²y² + x - 6)

500

(y³ − 7x⁴y⁴) + (−10x⁴y³ + 6y³ + 4x⁴y⁴) − (x⁴y³ + 6x⁴y⁴)

What is -9x⁴y⁴ - 11x⁴y³ + 7y³?

Or y³(-9x⁴y - 11x⁴ + 7)