How many solutions does the following equation have?
5x - 3 = 2x - 3 + 3x
infinitely many
200
Solve for x
0.05(x +1) - 1.5 = 0.3
x = 35
200
The length of a pencil is given as 6.1 x 10-1 units. Which is the most reasonable unit of measure?
inches, feet, yards, or miles
0.61 feet
200
A calculator displays this number 3.7E-8
What is this number in scientific notation?
3.7 x 10-8
200
How much larger is 9 x 105 than 3 x 103?
3 x 102 or 300 times larger
300
If Juan can read 8 pages in 6 minutes, at what rate does he read?
1.33 (or 1 1/3) pages per minute
300
Andy and Bob want to remove a 15 foot block wall. They are able to take the wall down at a rate of 2 feet per hour. Write an equation of the line that best represents how fast the wall is coming down.
y = -2x + 15
or
y = 15 - 2x
300
Write 2.01 x 106 in standard form.
2,010,000
300
Write 0.00039 in scientific notation.
3.9 x 10-4
300
How many solutions does the following system of equations have?
3x + 6y = 6
3(x + 2x) = 5
none
3x + 6y = 6
3x + 6y = 5
6 ≠ 5
400
Which ordered pair satisfies both equations?
y = -2x - 3
y = .5x + 2
(3,-9) (-2,1) (4,4) (-4,0)
(-2,1)
1 = -2(-2) - 3
1 = .5(-2) + 2
400
Solve for x
(1/4)x + (2/5)x - 5 = -3
(4/20)x + (8/20)x - 5 = -3
(12/20)x - 5 = -3
+5
(12/20)x = 2
*(20/12)
x = (40/12) or 10/3 or 3 1/3 or 3.33
400
Draw a graph of y = (-1/3)x + 1
y-int: 1
slope: -1/3 (down 1, right 3)
400
Is the set of ordered pairs a solution to the equation
y = 2x - 3 ?
{ (-1,5) (0,3) (1,1) (2,-1) }
No
5 ≠ 2(-1) - 3
400
Solve the proportion
2/3 = x/12
x = 8
500
What value of x makes the system true?
y = 10x + 4
y = 14x - 4
x = 2
10(2) + 4 = 20 + 4 = 24
14(2) - 4 = 28 - 4 = 24
500
Complete the equation so it has infinitely many solutions
3(2x - 6) = 2(3x - ?)
9
3(2x - 6) = 2(3x - 9)
6x - 18 = 6x - 18
500
For $360, a rock climbing gym offers a yearly membership where members can climb as many days as they want and pay $4 per day for equipment rental. Nonmembers pay $10 per day to use the gym and $6 per day for equipment rental. After how many visits is the total cost for a member, including the membership fee and equipment rental, the same as the total cost for nonmembers?
30
500
Kate borrows $450 from her mother and agrees to pay her back the same amount each month without interest. After 5 month she still owes her mother $370. Write a linear function that models the amount Kate owed her mother each month since she borrowed the money.