COORDINATE ALGEBRA BENCHMARK REVIEW #1
- There are 5280 feet in one mileThere are 0.034 ounces in one milliliter
- There are 0.454 kg in one poundThere are 1.6 kilometers in one mile
- There are 73 gallons in 2 barrelsThere are 1.05 quarts in one liter
- There are 4 quarts in one gallon
Do the following one-step unit conversions:
1)Convert 23 miles to feet.2) Convert 120 lbs to kilograms.
3) Convert 451 mL to ounces.4) Convert 6 feet to miles.
5)Convert 4 quarts to liters.6) Convert 0.045 barrels to gallons.
7) Kate’s 85 on her English test was 37 points less than twice the grade on her Science test.
8) At the Middle School Graduation Dance, the DJ played 12 slow dances, which was equal to the quotient of the number of fast dances and 2.
9) The 1,840 rock concert tickets sold were twice the amount of jazz concert tickets sold.
10) Meg received 90 votes for Student Council President, which were 50 less than twice the amount that Tom received.
Classify each as M (monomial), B (binomial), T (trinomial), P (polynomial), or C (constant).
1).______2).______3).______
Circle the problems that are in standard form. If it is not in standard form, re-write in standard form.
a.b. c.d.
An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at the same rate of descent. The plane’s height and minutes above the ground are related to each other.
Identify the variables in this situation: x= ______y= ______
What is the given information in this problem (find all that apply)?
y-intercept ______slope _____ one point a second point:
a. Write an equation to model the situation. b. Use your equation to find the altitude of the plane after 5 minutes.
Suppose you receive $100 for a graduation present, and you deposit it in a savings account. Then each week thereafter, you add $5 to the account but no interest is earned. The amount in the account is a function of the number of weeks that have passed.
Identify the variables in this situation: x= ______y= ______
What is the given information in this problem (find all that apply)?
y-intercept ______slope _____ one point a second point:
a. Find an equation for the amount y you have after x weeks. b. Use your equation to find when you will have $
$1,000 at 8% for 5 years
$2,000 at 12% for 3 years
$5,000 at 12% for 20 years
$1,000 at 8% for 5 years compounded monthly
$2,000 at 12% for 3 years compounded weekly
$5,000 at 12% for 20 years compounded quarterly
Solve for xSolve for x, Solve for d, Solve for r and check
ax + b = c + d x + a = bC = π d4r – 5c = 3c
Solve for x.
3x + 15 = -2x-2x + 3 = 3x – 74x + 7x – 9 = 6x + 6
-15c – 28 > 1524x – x + 8 ≤ 35
2x – 3 > 2(x-5)7x + 6 ≤ 7(x – 4)
The statement, “5 + 0 = 0 + 5 = 5” is
true by using the additive property of 0.
true by using the symmetric property.
true by using the multiplicative identity property of 1.
false.
The statement, “x = x” is an example of
the reflexive property of equality.
the symmetric property of equality.
the transitive property of equality.
none of these.