FTCE Math GKT Exam Questions and
Correct Answers
Mrs. Green was told that she could reduce her heating expenses at least 20% by
increasing the insulation of her house. After doing so, she found her average
monthly bill for oil decreased from $80 to $60. What fractional part of her
former heating expenses did Mrs. Green save by adding insulation.
1/4
A woman buys eight items at the grocery store. The lightest item weighs 6
ounces and the heaviest item weighs 14 ounces. The woman buys 4 items the
weigh 10 ounces per item. Which of the following is the maximum weight of the
items purchased?
88oz.
Simplify
6-8/2x4
-10
,Simplify
(1+2) to the 2 power -2(3-4)to the 3 power
11
In triangle ABC, AB=AC and angle A measures 40. What is the measure of angle B?
70
The driving distance between tallahassee and Tampa is 280 miles. If 1/2 inch on
a map represents 40 miles, what is the distance in inches between the cities?
3.5 in.
A milligram would be the most appropriate unit to use for measuring the mass
of a
Feather with a 1-inch length
A child is cutting steaks from a 12-pound section of beef. Allowing '/2 pound for
waste, how many 8-ounce steaks can be prepared from the section of beef?
23 steaks
,If fencing is $4.00 per yard, how much will it cost a farmer to fence a rectangular
field with dimensions 300 feet by 600 feet?
$2400
Find an algebraic expression equivalent to 2x/3 + 3y14
8x/12 + 9y112
The function h = 2d + 4 represents the height (h) in inches of a plant after a
certain number of days' (d) growth. Which of the following represents the
height of the plant for the first two days?
d=0 1 2
h=4 6 8
Which algebraic expression can be used,to determine the sale price? (chart)
regular price/sale price
S=3/4 r
Which of the following is the solution of 3(4-2x)-(2x-2)=38
-3
, Which of the following values is the solution to the given equation? 2(h — 6) = -
(16 + 3h)
-4/5
Which of the following values is the solution to the given equation?
6 — 2(4-x)=8
5
The teacher is following the student work shown below. The student was
attempting to find an equivalent expression for
(x — 1)(x + 1) — (x + 2)(x — 2)
Step 1: (x — 1)(x + 1) — (x - 2)(x + 2) = (x2 — 1) — (x2— 4)
Step 2: (x2 — 1) — ( x2 7 4) = x2— 1 — x2 - 4
Step 3: x2-1—x2-4x2—x2-l-4
Step 4: x2— x2 — 1 — 4 = -5
The teacher notes that the student committed a single error. During which of the
following steps did the student first commit the error?
Step 2
Correct Answers
Mrs. Green was told that she could reduce her heating expenses at least 20% by
increasing the insulation of her house. After doing so, she found her average
monthly bill for oil decreased from $80 to $60. What fractional part of her
former heating expenses did Mrs. Green save by adding insulation.
1/4
A woman buys eight items at the grocery store. The lightest item weighs 6
ounces and the heaviest item weighs 14 ounces. The woman buys 4 items the
weigh 10 ounces per item. Which of the following is the maximum weight of the
items purchased?
88oz.
Simplify
6-8/2x4
-10
,Simplify
(1+2) to the 2 power -2(3-4)to the 3 power
11
In triangle ABC, AB=AC and angle A measures 40. What is the measure of angle B?
70
The driving distance between tallahassee and Tampa is 280 miles. If 1/2 inch on
a map represents 40 miles, what is the distance in inches between the cities?
3.5 in.
A milligram would be the most appropriate unit to use for measuring the mass
of a
Feather with a 1-inch length
A child is cutting steaks from a 12-pound section of beef. Allowing '/2 pound for
waste, how many 8-ounce steaks can be prepared from the section of beef?
23 steaks
,If fencing is $4.00 per yard, how much will it cost a farmer to fence a rectangular
field with dimensions 300 feet by 600 feet?
$2400
Find an algebraic expression equivalent to 2x/3 + 3y14
8x/12 + 9y112
The function h = 2d + 4 represents the height (h) in inches of a plant after a
certain number of days' (d) growth. Which of the following represents the
height of the plant for the first two days?
d=0 1 2
h=4 6 8
Which algebraic expression can be used,to determine the sale price? (chart)
regular price/sale price
S=3/4 r
Which of the following is the solution of 3(4-2x)-(2x-2)=38
-3
, Which of the following values is the solution to the given equation? 2(h — 6) = -
(16 + 3h)
-4/5
Which of the following values is the solution to the given equation?
6 — 2(4-x)=8
5
The teacher is following the student work shown below. The student was
attempting to find an equivalent expression for
(x — 1)(x + 1) — (x + 2)(x — 2)
Step 1: (x — 1)(x + 1) — (x - 2)(x + 2) = (x2 — 1) — (x2— 4)
Step 2: (x2 — 1) — ( x2 7 4) = x2— 1 — x2 - 4
Step 3: x2-1—x2-4x2—x2-l-4
Step 4: x2— x2 — 1 — 4 = -5
The teacher notes that the student committed a single error. During which of the
following steps did the student first commit the error?
Step 2
