Vocabulary
Lesson 6-1 & 6-2
Lesson 6-3
Lesson 6-4
Lesson 6-5
Lesson 6-6
Lesson 6-7
Lesson 6-8 & 6-9
100
Alg: If a system has at least one solution, it is said to be ____________.
PA: A statement of equality of ratios or rates is called a(n) __________.
Consistent
Proportion
100
Alg: Solve using substitution:
x - y = 1
x + y = 5
PA: Express the ratio as a fraction in simplest form:
10 girls out of 24 students
(3,2)
5/12
100
Alg: Use elimination:
x+y=13
x-y=5
PA: 7 in = _____cm
(9,4)
17.78cm
100
Alg: Use elimination:
x+y=4
-2x+3y=7
PA: Determine whether the set of numbers is proportional.
(1, 3)
Nonproportional
100
Alg:
PA: 15/a = 5/4
a=12
100
Alg:
PA: On a scale drawing of a museum, the scale is 0.5 in=10 feet. Find the actual length if the model is 6 in.
120 ft
100
Alg:
PA: The figures are similar. Determine each missing measure.
x= 5 in
100
Alg:
PA: At the same time a 15 ft pole casts a 10 ft shadow, a nearby tree casts a 6 ft shadow. How tall is the tree?
15/10=x/6
9 ft tall
100
Alg: If a consistent system has exactly one solution, it is said to be ____________.
PA: A(n) _________ is a ratio of two measurements having different units.
Independent
Rate
100
Alg: Solve using substitution:
y = 2x - 4
4x + y = 2
PA: Express the ratio as a fraction in simplest form:
10 yards to 8 inches
(1,-2)
45/1
100
Alg: Use elimination:
-3x+4y=21
3x+3y=14
PA: 20 m = _______ yd
(-1/3, 5)
21.88 yd
100
Alg: Use elimination:
x-y=-2
2x+4y=38
PA: Determine whether the set of numbers is proportional.
(5, 7)
Proportional
100
Alg:
PA: b/6 = 18/15
b=7.2
100
Alg:
PA: On a scale drawing of a museum, the scale is 0.5 in=10 feet. Find the actual length if the model is 4.25 in.
85 ft
100
Alg:
PA: 
x=20
100
Alg:
PA: Percy wants to increase the dimensions of his 5in by 7in photo by a scale factor of 1.5 on his computer. What is the size of the new photo?
7.5in x 10.5in
100
Alg: ___________ involves substituting an expression from one equation for a variable in the other.
PA: Proportional relationships can be described by using the equation y=kx, where k is the ____________.
Substitution
Constant of proportionality
100
Alg: Graph each system of equations:
2x - 3y =-6
y = -3x + 2
PA: Jean got 12 hits out of 16 times at bat. Express this rate as a fraction in simplest form. Explain its meaning.
(0,2)
3/4; for every 4 times at bat, Jean got three hits.
100
Alg: Use elimination:
x+4y=-4
x+10y=-16
PA: 25 fl oz = _______ mL
(4,-2)
739.35 mL
100
Alg: Use elimination:
3x+4y=1
5x+2y=11
PA: Determine whether the set of numbers is proportional.
(3, -2)
Proportional
100
Alg:
PA: 4/9 = 9/c
c=20.25
100
Alg:
PA: On a scale drawing of a museum, the scale is 0.5 in=10 feet. Find the actual length if the model is 7.5 in.
150 ft
100
Alg:
PA: <A is congruent to <_____.
Side AC is congruent to side _______.
P
PR
100
Alg:
PA: A triangle has vertices A(1,3), B(3,4), and C(2,1). Find the coordinates of the triangle after a dilation of 2.5.
A'(2.5,7.5), B'(7.5,10), and C'(5,2.5)
200
Alg: Each number in a matrix is called a(n) _________.
PA: The ratio of the length on a scale drawing to the corresponding length on the real object is called the __________.
Element
Scale factor
200
Alg: Graph each system of equations:
-3x + y = -3
y = x - 3
PA: Express each rate as a unit rate. Round to the nearest tenth.
$25.97 for 8 boxes
$3.25 per box
200
Alg: Use elimination:
2x+y=-5
x-y=2
PA: 4 L = ______ gal
(-1,-3)
1.06 gal
200
Alg:
PA: DAILY DOUBLE (double points)
A customer at the ring toss booth gets 8 rings for $2. Write an equation relating the cost to the number of rings. At this rate, how much would a customer pay for 11 rings? 20 rings?
c=0.25r
11 rings = $2.75
20 rings = $5
200
Alg:
PA: d/3=1.2/4
d=0.9
200
Alg:
PA: The length of the highway is 900 miles. If 0.5 in represents 50 miles on a map, what is the length of the highway on the map?
9 in
200
Alg:
PA: The figures are similar. Determine each missing measure.
x = 12
200
Alg:
PA: At the same time a 6 ft person casts a 25.5 ft shadow, a nearby tree casts a 50.5 ft shadow. How tall is the tree? Round to the nearest whole number.
11.88235294 ~ 12 ft tall
200
Alg: A(n) ______________ consists of the coefficients and the constant terms of a system of equations.
PA: Two quantities are _____________ if they have a constant ratio or rate.
Augmented matrix
Proportional
200
Alg: Graph each system of equations:
-6x + 2y = -4
y = 5x - 2
PA: Express each rate as a unit rate. Round to the nearest tenth.
$175 for 4 concert tickets
$43.75 per ticket
200
Alg: Use elimination:
6x+y=9
-6x+3y=15
PA: A plane is flying at a speed of 425 miles per hour. How far will the plane travel in 0.75 hours?
(1/2, 6)
318.75 mi
200
Alg:
PA: Determine whether the set of numbers is proportional.
Nonproportional
200
Alg:
PA: A homeowner whose house is assessed for $120,000 pays $1800 in taxes. At that same rate, what is the tax on a house assessed at $135,000?
$2025
200
Alg:
PA: A scale model of a car has a bumper that is 3.5 in long. The scale on the model is 1in=2 ft. What is the length of the bumper?
7ft
200
Alg:
PA: The figures are similar. Triangle ABC is congruent to triangle FGH. Side AB is 10, side BC is 16, and side FG is 15. Find side GH.
side GH = 24
200
Alg:
PA: A triangle has vertices A(-2,-1), B(1,1), and C(3,-3). Find the coordinates of the triangle after a dilation of 2.
A'(-4,-2), B'(2,2), C'(6,-6)
200
200
Alg: Solve using substitution:
y=5x-3
x+2y=27
PA: An eight pack of juice boxes costs $4,79, and a twelve pack of juice boxes costs $6.59. Which is a better buy? Explain.
(3,12)
12 boxes for $6.59 is the better buy because each box will be 5 cents cheaper.
$0.55 < $0.60
200
Alg: Use elimination:
x-4y=2
3x+4y=38
PA: A swimming pool is being drained at a rate of 50 gal per hr. How many mL per sec is this?
(10, 2)
52.6 mL per sec
200
Alg:
PA: Determine whether the set of numbers is proportional.
Proportional
200
Alg:
PA: 16.5/21=5.5/e
e=7
200
Alg:
PA: A map has a scale of 1in=75 miles. How many inches on the map would represent 300 miles?
4 in
200
Alg:
PA: A mosaic is created using rectangular blocks. Block A has a length of 5 cm and a width of 2.5 cm. Block B is similar to block A and has a length of 7 cm. What is the width of block B?
2.5/5 = x/7
x=3.5 cm
200
Alg:
PA: A triangle has vertices A(-3,0), B(2,6), and C(6,2). Find the coordinates of the triangle after a dilation of 0.5.
A'(-1.5,0), B'(1,3), and C'(3,1)