Benchmark 1 Review­­ Chapter 1­3.notebook
February 06, 2017
Solve the following equations/inequalities.
3m + 2 ≥ 5m ­ 12
­2(x + 1) = 6
5 < 2k ­ 3 < 19
2 ­ ¾h = 7
Benchmark 1 Review­­ Chapter 1­3.notebook
February 06, 2017
note
The cost of tuition at Johnson Community College is $160 per
credit hour. Each student also has to pay $50 in fees. Model the
cost, C, for x credit hours taken.
Totals = RATE
x+­
or
starting
value
Katherine has $140 in the bank and is saving $6 per week. Abbie
has $462 in the bank, but is spending at a rate of $10 per week.
What equation will determine when they will have the same
amount of money in the bank?
A. 140x + 6 = 462x + 10
B. 140 + 6x = 462 + 10x
C. 140x + 6 = 462x ‐ 10
D. 140 + 6x = 462 ‐ 10x
On a trip to the movies a family spent $35 on tickets, and
another $25 on popcorn. They also spent $10 on drinks. The
oldest son spent some money on candy. Altogether the family
spent $76. How much did the oldest son spend on candy?
Savannah is 24 years older than Ryan, while Sebastian is 5
times as old as Ryan. If Savannah and Sebastian are twins,
which equation may be used to determine the age of all three
people?
A. 8x = 24
B. 24 + 2x = 5x
C. 24 + 5x = x
D. 24 + x = 5x
Benchmark 1 Review­­ Chapter 1­3.notebook
February 06, 2017
Jay earns $5.90 per hour working at the ice cream parlor after school. He needs at least $236 for a stereo system. Write the inequality that describes how many hours Jay must work to buy the stereo system. Jake makes and sells pies. He sells each pie for $5.75. The materials to make each pie costs Jake $4.00. The boxes Jakes put the pies in cost $0.75 each. Jake wants to know how many pies (p) he needs to sell to earn a profit of at least $50. Write an inequality Jake can use Given A = bh solve for b.
Solve for r: p = 4r + 3t
Solve the equation for y:
-8x + 4y = 20
2x - y = 6
Given the equation P = 2W + 2L solve for W.
Benchmark 1 Review­­ Chapter 1­3.notebook
February 06, 2017
A school club is raising money for a trip, and needs to reach
$10,000. Their fundraising progress is modeled by the function
f(x) = 435 + 1200x, where x is measured in weeks.
What is the meaning of the constant 435?
A. The goal amount of money
B. The amount of money earned each week
C. The amount of money it costs for each student to go on the trip.
D. The amount of money they have to begin with
What is the meaning of the number 1200?
A. The goal amount of money
B. The amount of money earned each week
C. The amount of money it costs for each student to go on the trip.
D. The amount of money they have to begin with
Benchmark 1 Review­­ Chapter 1­3.notebook
February 06, 2017
Determine the number of terms and the degree of the
polynomial.
3x2 + 4x ­ 2
4x5 ­ 2x2 + 5x ­ 6
3x ­ 1
3x6
REMEMBER
­Terms are separated by + or ­ signs
­Degree is the highest exponent
The solution to a two variable
equation is an ordered pair.
An ordered pair is an
(x , y) point.
This point represents a
point on the
coordinate plane.
An equation is a line that
contains an infinite amount of
solutions.
( 2, 3)
x
y = 3x ­ 3
y
Benchmark 1 Review­­ Chapter 1­3.notebook
February 06, 2017
Determine if the point (­1 , 3) is a solution to the
equation:
y = 3x + 6
y = ­2x + 1
Determine if the point (2 , ­1) is a solution to the
equation:
y = ½x ­ 3
Which of the following
points is NOT a solution to
the equation of the line
shown:
A. (3 , 4)
B. (9 , 8)
C. (­6 , ­2)
D. (2 , 0)
y = ­3x + 7
Benchmark 1 Review­­ Chapter 1­3.notebook
Which of the following
points is NOT a solution to
the equation of the line
shown:
February 06, 2017
10
A. (0 , 2)
2 4 6 8 10
B. (­2 , 3)
­10
­2
C. (6 , ­2)
D. (­4 , 8)
­10
Writing equations from a scenario...
It cost $5 a night to camp in a national
park and $25 to rent a spot. Write an
equation for staying n nights.
Eight more than the product of seven and
a number is twelve.
Benchmark 1 Review­­ Chapter 1­3.notebook
February 06, 2017