| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
If b = -8 and z = -1, what is the value of -b(b - z)?
| 42 | |
| -56 | |
| -120 | |
| -288 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-b(b - z)
-1(-8)(-8 + 1)
-1(-8)(-7)
(8)(-7)
-56
What is 8a7 - 5a7?
| 13a14 | |
| 3a14 | |
| 40a7 | |
| 3a7 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a7 - 5a7 = 3a7
If side x = 10cm, side y = 9cm, and side z = 7cm what is the perimeter of this triangle?
| 32cm | |
| 26cm | |
| 29cm | |
| 37cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 10cm + 9cm + 7cm = 26cm
The dimensions of this trapezoid are a = 4, b = 5, c = 7, d = 8, and h = 3. What is the area?
| 12 | |
| 24 | |
| 19\(\frac{1}{2}\) | |
| 20 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(5 + 8)(3)
a = ½(13)(3)
a = ½(39) = \( \frac{39}{2} \)
a = 19\(\frac{1}{2}\)
What is the circumference of a circle with a radius of 19?
| 12π | |
| 38π | |
| 9π | |
| 11π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 19)
c = 38π