Operations & Algebraic Thinking
Simplify: 15 – 3² + 4
10
Find the area of a triangle with base 9 and height 4
18 sq units
Order from least to greatest: –2, √3, 0, –1.5
–2, –1.5, 0, √3
Find the mean: 5, 7, 8, 10
7.5
If two answers seem correct, what should you do?
Reread and compare carefully
Solve: 5x – 7 = 3x + 9
x = 8
A rectangle has perimeter 30 and length 9. What is the width?
6 units
Simplify: √50
5√2
Find the median: 12, 3, 7, 9, 15, 6
8
Why is it important to estimate before solving exactly?
To check reasonableness (Am I even close to my projected correct answer?)
Evaluate: 2³ + 4(5 – 2)
20
The radius of a circle is 5. What is the circumference? (Use π ≈ 3.14)
31.4 units
Is 0.272727… rational or irrational? Explain with one word.
Rational
A number cube (1–6) is rolled. What is the probability of rolling a multiple of 3?
1/3
What should you do if a question looks too hard at first glance?
Break it into smaller steps
Solve for x: 3(x + 2) – 4 = 2x + 7
x = 5
A right triangle has legs 6 and 8. What is the hypotenuse?
10 units
Simplify: (3 + 2i) + (5 – 4i)
8 – 2i
A bag has 4 red, 3 blue, and 3 green marbles. What is the probability of picking a red marble?
2/5
How can eliminating wrong answers improve your odds?
Raises probability of choosing correctly
Twice a number plus 9 equals 3 less than 5 times the number. What is the number?
x = 6
Find the area of a circle with diameter 10. (Use π ≈ 3.14)
78.5 sq units
Simplify: (2i)(–3i)
6
The mean of five numbers is 12. What is their total sum?
60
Why should you pay attention to units in math problems?
They help verify correct answers