Vocab
What do you call one of the four areas into which the x-axis and the y-axis divide a Cartesian Coordinate system.
A quadrant
What is the prime factorization of 144? Give your answer as a product of prime factor powers.
24 x 32 is the prime factorization of 144.
4n + 3
What does the translation vector [-3, 7] mean in words?
Move 3 units left and 7 units up.
What is the sum of 3 2/5 and 7 3/4? Give your answer as a mixed number AND an improper fraction.
11 3/20 and 223/20
A line segment that joins any two points on the circumference is called a(n) ____________.
chord
What is the missing term in the following proportion AND the scale factor that relates the two ratios?
6 : 8 = ____ : 12
The missing term is 9 and the scale factor that relates the ratios is 1.5 (to find the scale factor, you must divide 12 by 8).
What's the solution to 3k + 7 = -4k - 9?
k = -16/7
What is the radius of a circle with an area of 207 cm2? Remember the rounding rules!
About 8 cm
What is the value of (-9)2 + (-6) x (+5)?
51
The sum of two ______________ integers is always zero.
opposite
What are three composite factors of the numbers represented by the prime factorizations 22 x 35 x 7 x 11 and 25 x 32 x 113.
The composite common factors of the two numbers are: 4, 9, 18, 22, 33, 44, 99,...
A sequence increases by a constant amount. The second term is 15 and the seventh term is 50. What is the general term of the sequence?
The general term is 7n + 1.
Point P has been dilated by a factor of 4. If P' is located at (-5, 12), what are the coordinates of P?
The coordinates of P are (-1.25, 3).
The quotient of 10/4 and 2 2/3.
15/16
What's the word used to describe the process of extending a line on a scatter plot to continue a pattern?
Extrapolate
Which two whole numbers is the square root of 137 between and explain how you know.
The square root of 137 is between 11 and 12. I know this because 112 = 121 and 122 = 144, and since 137 is between these two numbers, its square root must be between the square roots of the two numbers (i.e. 11 and 12, respectively).
What is the solution to the equation -3(2m - 4) = 2(m + 1)?
The solution is m = 5/4 OR 1.25
A Grade 7 class made a mural to celebrate Pi Day this year. The mural is filled with all sorts of circles. For one of the images, they decide to draw a CD that has an outer circumference of 38 cm and an inner diameter of 6 cm. What is the area of the CD? Remember that there is a hole in the center of the CD.
The area of the CD is about 87 cm2.
How much money did Shuri originally have at the start of the week if she bought $110 of gas on Monday, spent $35 for dinner on Tuesday, paid her $52 phone bill on Thursday and got paid $80 for babysitting her little cousin on Saturday (her balance at the end of the week was $33)?
Shuri originally had $150 at the start of the week.
What do you call an ordered pair of integers used to represent the horizontal and vertical moves that describe a translation?
A translation vector
Jack ran 14 km in 1.5 hours. Cindy ran 15 km in 108 minutes. Who ran the fastest? What was each person's average speed (in km/h, rounded to the nearest tenth)?
Jack ran the fastest. He ran about 9.3 km/h while Cindy ran about 8.3 km/h.
What is the solution to the inequality 4k + 7 < 5k - 2?
The solution is k > 9.
A point with coordinates (x, 7) is below and to the left of point (-5, y). What are possible values for x AND y? Explain your reasoning.
Since (x, 7) is to the left of (-5, y), x must be less than -5 (i.e. x < -5), so a possible value would be -6.
Since (x, 7) is below (-5, y), y must be greater than 7 (i.e. y > 7), so a possible value would be 8.
Evaluate:
[(-2)3 + 7 - (-8 + 5)] / (-18 - 4)
2/-5 OR -2/5 OR -0.4