Grade 9 Math - Ontario

Polynomials I

100

A polynomial with two terms

a binomial

200

Only like terms can be ______ and ______.

added and subtracted

300

Simplify x + 7y - 4x - 3y -2

-3x + 4y - 2

400

Simplify (2x + 3) - (5x - 1)

-3x + 4

500

Simplify (x + 8)(3x - 2)

3x² + 22x - 16

Polynomials II

100

Terms with the same variable with the same exponent

Like terms

200

The property that says multiplying a number by a polynomial is the same as multiplying each term separately.

Distributive property

300

Simplify 3x(-x + 3)

9x² + 9

400

Simplify 2(x + 1) + 7(1 - x)

-5x + 9

500

Simplify (2x - 9)(x - 1)

2x² -11x + 9

Polynomials III

100

In the polynomial (5x² + x + 14), 5x², x, and 14 are ______.

Terms

200

According to exponent laws, when you _____ numbers with the same base (such as x⋅x) you must _____ the exponents and keep the base the same.

Multiply and add

300

Simplify 2x + 3y - 5xy - 3y + 1

2x - 5xy + 1

400

Simplify 8(2x - y + 4)

16x - 8y + 32

500

Simplify (5.6x + 9) - (3.7p + 3) + (-1.9p - 6)

0

Equations I

100

An equation has two expressions that are ______.

equal

200

If n = 2 satisfies the equation 16n = 32, then we say that n = 2 is ______.

A solution

300

13x = 169. What inverse operation must be performed to both sides of the equation to isolate for x?

Divide 13

400

Solve 43s - 19s = 72

s = 3

500

The equation to find the perimeter, P, of a rectangle is P = 12x - 56. If the perimeter is 16cm, what is the value of x?

x = 6

Equations II

100

The inverse operation of squaring

square root

200

The solution to an equation makes the ______ of the equation equal the ______.

left side and right side

300

To check that a “solution” satisfies the equation, you need to ______ the solution back into the original equation.

substitute

400

What is the solution to 6x + 3 = 9?

x = 1 

500

The number, n, is doubled and decreased by 46. The resulting value is 162. What is the value of n?

n = 104