topic badge

8.04 Solve quadratics using the quadratic formula

Adaptive
Worksheet

Interactive practice questions

To solve $x^2-x=2$x2x=2, Emma substitutes $a=1$a=1 into the quadratic formula. What value of $c$c should she substitute into the quadratic formula?

$2$2

A

$-1$1

B

$-2$2

C

$2$2

D
Medium
< 1min

The standard form of a quadratic equation is $ax^2+bx+c=0$ax2+bx+c=0.

Identify the values of $a$a, $b$b and $c$c in the quadratic equation $x^2-3x-4=0$x23x4=0 with $a>0$a>0.

Medium
< 1min

The standard form of a quadratic equation is $ax^2+bx+c=0$ax2+bx+c=0.

Identify the values of $a$a, $b$b and $c$c in the quadratic equation $2x^2+9x=0$2x2+9x=0 with $a>0$a>0.

Medium
< 1min

The standard form of a quadratic equation is $ax^2+bx+c=0$ax2+bx+c=0.

Identify the values of $a$a, $b$b and $c$c in the quadratic equation $3x^2-8x+2=9x-7$3x28x+2=9x7 with $a>0$a>0.

Medium
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

A.EI.3

The student will represent, solve, and interpret the solution to a quadratic equation in one variable.

A.EI.3a

Solve a quadratic equation in one variable over the set of real numbers with rational or irrational solutions, including those that can be used to solve contextual problems.

A.EI.3b

Determine and justify if a quadratic equation in one variable has no real solutions, one real solution, or two real solutions.

A.EI.3c

Verify possible solution(s) to a quadratic equation in one variable algebraically, graphically, and with technology to justify the reasonableness of answer(s). Explain the solution method and interpret solutions for problems given in context.

What is Mathspace

About Mathspace