squares and cubes
•A square garden has an area of 144 square feet. What is the length of one side?
12
•A number is multiplied by 10³ to get 4,000. What is the original number?
What is 4?
•What is the perimeter of a square with side length √81 inches?
what is 36 inches?
•Which is the simplified form of √50?
•A. 25√2
•B. 10√5
•C. 5√2
•D. √25
C. 5√2
•A car travels 120 miles in 3 hours. What is the unit rate?
40 miles/hour
•A cube has a volume of 27 cubic inches. What is the length of one edge?
3
Write 3 × 10² in standard form
300
•A cyclist rides 75 miles in 5 hours. What is the speed?
what is 15 miles/hour?
•Solve: 2x + 5 = x + 17
What is x=12?
•A line passes through the origin with a slope of 4. What does the slope represent?
•A. Starting value
•B. Total distance
•C. Rate of change
•D. y-intercept
What is c rate of change?
determine the value for c (if decimal round to the nearest hundreths place)
132 + 22 =c2
what is 13.15?
Write 6 × 10⁻⁴ in decimal form
what is 0.0006?
• solve for x
3x + 7 = 25
What is 6?
Angle pairs in parallel lines cut by a transversal are either
What are congruent or supplimentary?
•Which equation represents 2 cups of flour for every 3 batches?
•A. y = 3/2 x
•B. y = 2x
•C. y = 2/3 x
•D. y = x + 3
What is c y=2/3x
•Evaluate: 2³ × 2⁴
what is 128
A student claims
4.5 × 10⁴ is greater than 3.2 × 10⁵.
Is the student correct?
A. Yes, because 4.5 is greater than 3.2
B. Yes, because both numbers are large
C. No, because 10⁵ is ten times greater than 10⁴
D. No, because 4.5 is smaller
what is C?
The exponent determines size first. Any number times 10⁵ is greater than a number times 10⁴.
write an equation that represents earning $15 plus $8 per hour?
What is y= 8x+15
A student solves the equation
2(x − 5) = 14
and claims the solution is x = 12.
Is the student correct?
A. Yes, because 12 − 5 = 7
B. Yes, because 2 × 7 = 14
C. No, the correct solution is x = 7
D. No, the equation has no solution
What is A or B?
Dividing both sides by 2 gives x − 5 = 7. Adding 5 results in x = 12. The student’s reasoning is correct.
•A plan costs $10 plus $5 per month. How much for 6 months?
What is c $40?
y= 5x+10
The area of a square is 196 square units.
Which reasoning correctly finds the perimeter of the square?
A. Divide 196 by 4
B. Take √196, then multiply by 4
C. Multiply 196 by 4
D. Take √196 only
what is B?
The side length is √196 = 14. Perimeter is 4 × 14 = 56 units.
which number is greater
6 × 10⁻³ OR 4 × 10⁻⁴?
what is 6 x10^-3?
0.006 is larger than 0.0004
A student solves the equation
4x+8=4(x+2)
and claims the solution is x = 2.
Is the student correct?
The student is NOT correct.
Distribute on the right side:
4x+8=4x+8
Subtract 4x from both sides:
8=8
This is a true statement, which means the equation has infinitely many solutions, not just x=2x = 2x=2.
Conclusion:
The student’s claim is incorrect because every value of x makes the equation true.
A student solves the equation below and claims the solution is x=4
2(3x−5)+4=6x−6
Is the student correct? Justify your answer using
what is the student is incorrect?
Distribute on the left side:
6x−10+4=6x−6
Combine like terms:
6x−6=6x−6
-6x from both sides:
-6=-6
This is a true statement, which means the equation has infinitely many solutions, not just x=4
Two lines pass through the origin.
Line A rises 6 units for every 3 units right
Line B rises 4 units for every 2 units right
Which statement is true?
A. Line A has a greater slope
B. Line B has a greater slope
C. Both lines have the same slope
D. Not enough information
What is c?
Line A has slope 6/3 = 2 and Line B has slope 4/2 = 2. The slopes are equal.