Extending Our Range of Numbers
Write 3.2 × 10³ in standard form.
3200
What is the square of 9?
3
Evaluate: –7 + 15
8
Simplify: 3x + 4x
7x
Name the transformation:
A shape slides 6 units right and 3 units up.
Translation
Which is larger: 4.6 × 10⁻³ or 2.5 × 10⁻²?
2.5 × 10⁻²
What is √144?
12
Evaluate: (–4) × (–6)
24
Evaluate the expression 2a – 3b when a = –2 and b = 5.
-19
A(-5, 8) is reflected across the y-axis. What are the resulting coordinates?
A'(5, 8)
Place these numbers in order from least to greatest:
√2, –3.1, 0.25, –π
–π, –3.1, 0.25, √2
Which number is a perfect square?
98, 100, 130
100
Create a pattern that begins at –2 and increases by 3 each step. Give the first 4 terms.
-2, 1, 4, 7
Solve: 4x – 7 = 13
5
V(–2, 5) is rotated 90° counterclockwise about the origin. What is its new coordinate?
V'(-5, -2)
A bacteria population is 8.2 × 10⁶. A second sample has 5.1 × 10⁷ bacteria.
Which sample is larger, and by how much?
4.28 × 10⁷
Estimate √50 to the nearest whole number, and explain your reasoning.
7.0-7.1 (√49 = 7, and √50 is just above)
Evaluate: (–32) ÷ 4 – (–6)
-2
Solve: -2x + 5 > –3
x < 4
A shape is dilated by a scale factor of 1.5 from the origin.
A point is originally at (4, –2). What is the dilated point?
Convert 4.5 gigabytes to bytes using scientific notation.
4.5 x 109
If the area of a square is 255 cm², determine the side length to one decimal place, using an appropriate strategy.
~15.9cm
A pattern is defined by the rule –3n + 5, where n = term number
Find the 10th term.
-25
Solve the equation:
0.5(6 – 4x) + 3x = 12
x = 9
B(-7, 12) is translated 2 units left and 9 units up, then rotated 270 degrees CCW, then reflected across the x axis, then dilated by a scale factor of 1/3. What is the new location of B?
After translation: B'(-9, 21)
After rotation: B'(21, 9)
After reflection: B'(21, -9)
After dilation: B'(7, -3)