Equations and Expressions

Expressions

100

Simplify  (4y + 3) – (y – 2)

3y + 5

200

Simplify  (–2h + 1) + 2(3h – 4)

4h – 7

300

Factor out the coefficient: 3x +39

3(x + 13)

400

Factor out the coefficient: ½ x + 4

½ (x + 8)

500

Simplify:  x(3x – 4) + 5x - 2x²

x² + x

Equations

100

6n = 21

n = 3.5

200

8.3 – d = 4.7

d = 3.6

300

3k – 2 = 10

k = 4

400

2y – 3 = 5

y = 4

500

n² – 4 = 21

n = 5 or n = –5

Inequalities

100

x – 3 > 7

x > 10

200

–5x > –25

x < 5

300

4 – 3z ≥ 1

z ≤ 1

400

Parking costs c — “The minimum cost is $3.” Write an inequality.

c ≥ 3

500

A gas tank holds ≤ 14.5 litres and you used 1.5 litres. Write/solve an inequality for fuel f left.

f ≤ 13 litres

Powers & Scientific Notation

100

Evaluate (–3)⁴

81

200

Evaluate √(25 ⁄ 49)

5⁄7

300

Write 0.000 000 459 in scientific notation.

4.59 × 10⁻⁷

400

Express 57 × 10⁻⁵ in standard form.

0.000 57

500

Simplify 7.6 × 10⁶ + 2.03 × 10⁷

2.79 × 10⁷

Word Problems

100

Temperature rises from –4 °F to 8 °F. How many degrees did it increase?

12 °F

200

Health-club price: 29.99 + 3.75 x = 63.74. How many times did John play racquetball?

9 times

300

Write 10 000 taste buds in scientific notation.

1.0 × 10⁴

400

How many times more massive is the Sun than Earth? (1.989 × 10³⁰ kg vs 5.98 × 10²⁴ kg)

≈ 3.33 × 10⁵ (~332 500 times)

500

Write 0.000 000 004 3 in scientific notion?

4.3 x 10^-9