Module 11 Jeopardy

Quadratic equations

100

Is -x² +6x + 18 = 0 a quadratic equation? True or False.

True.

200

Solve x²−5x+6=0

x=2 orx=3

300

Solve 2x²+3x−2=0

x= 1/2 or x=−2

400

Solve x²+4x+5=0

−2 ± i

500

Solve 3x²+2x−1=0 using the quadratic formula

x=1/3 or x=−1

Exponents

100

Simply X² • X⁴.

X⁶

200

Simplify (3x)⁴

81x⁴

300

Simplify the expression: 3^2∙3³

243.

400

Simplify the expression: 4⁵/4⁴

64.

500

Simplify the expression: (2^3.5²)²

40000.

Linear Equations

100

Solve for x: 2x+3=7

x=2

200

Solve for x: 5x−4=11

x=3

300

Solve for x: 3x+2=2x+7

x=5

400

Solve for x: 4(2x−1)=3(x+5)

x=19/5 or x=3.8

500

Solve for x: 2x+3/4 = x-2/2

No solution

Polynomials

100

simplify 3x²+2x-5 when x = 2

11

200

Factor the polynomial X²-4x+4

(X-2)(X-2) or (X-2)²

300

Find all the roots of the polynomial x³-6x²+11x-6

X=1 X=2 X=3

400

Divide the polynomials 2x⁴+3x³-4x²+7x-2 by 1

It yields a quotient of 2x³+5x²+x+2 and a remainder of 0

500

determine the reminder when (x³+2x²-3x+5) is divided by (x²-1)

The remainder is 2x+5

Solving inequalities

100

Solve the inequality 3x−7<14

x< 3/21 or x< 7

200

Solve the inequality: −2(2x+5)≥16

−4x−10≥16, −4x ≥26

300

Solve the compound inequality: −4≤2x+2<10−4≤2x+2<10

−3≤x<4

400

Solve the inequality with absolute value: ∣3x−5∣≤7∣3x−5∣≤7

−3/2≤x≤4

500

Solve the inequality: 2x+1/3≥x−2

x≥−2