แผ่นงานMCAP Practice Algebra 1
คำถามทั้งหมด: 30
(a) x + (b) y ≤ 30
(c) y ≤ (d) x
Function f is defined by f(x)=(x−5)2+1. Function g is defined by g(x)=f(x)−2.
Which quadrants in the xy–plane contain points on the graph of y=g(x) ? Select all that apply
The function f is defined by. f(x)=57x−7
Graph the equation on the grid provided.
What value of x is the solution of the equation 53x−7= x+1
(a)
Function f is defined as f(x)=x2−6x+14 .
What is the minimum value of f(x).
-3
3
5
14
Function f is defined as f(x)=x2−6x+14 .
Graph the value of f(x) using 2 points from Desmos
What are the values of p and q in vertex form of the equation x2−12x+5=0 .
Select your answers from the drop down menu.
(x−p)2−q=0
P= (a) Q= (b)
Samantha has $35$ in her savings account. At the end of each week, she will add $20$ to the account.
Which equation describes the total amount S, in dollars, that Samantha will have in her account at the end of week w?
S=15w
S=55w
S=20+35w
S=35+20w
A system of equations is given.
y=9x−1
y=2x+3
What is the value of x in the solution (x, y) to the system? Show it on the graph.
A student is saving money in a bank account to buy a computer. The function f(w)=35w+10 . Match the following.
The initial amount
10
The slope
35x
Each week she adds
$35
The expression 2x+(x−6)2 is equal to x2+bx+36
The value of b that makes both graphs equivalent is...
(a)
Which value is the best estimate of the correlation coefficient of a line of best fit for the data?
-.9
0.09
.08
.8
A sequence is defined by a a(x)=−5+(x−1)14 . where x is a positive integer.
What is the value of a(10)? (a)
Consider the equation (x−a)2−b=0 , where a and b are both positive real numbers.
Which statement about the solution or solutions to the equation must be true?
Do not use = 0 in DESMOS
The equation has no real x-intercepts.
The equation has exactly one real solution and the solution is positive.
The equation has exactly two real solutions and both of the solutions are positive.
The equation has exactly two real solutions and at least one of the solutions is positive.
An office manager is ordering this year’s supply of pencils and pens for the office. Each pencil costs $0.10, each pen costs $0.75 and the manager will spend a total of $235 on pencils and pens.
Match the following.
pencils
.10x
pens
.75y
Money Total
$235
$235=
.10x+.75y
The system of equations shown below can be graphed in an xy–plane.
x+y=1
3x+6y=18
Plot both lines using the x and y intercepts for each.
The equation y=3.25x+8.5 models the distance the athlete will run in week x. For which weeks is the number of miles given by the equation greater than the numbers given in the picture?
(a) (b)
The function f is defined by, f(x)=(x−5)2−20 . What is the range of f?
Select from the drop-down menus to correctly complete the sentence.
The range of f is all real numbers (a) (b)
In which intervals do the solutions of the equation f(x) = g(x) exist?
Select all that apply.
What was the average rate of change of the number of pages the student read per day from the end of day 2 to the end of day 6?
Use the picture provided.
The answer is 45.5. Show the calculations that will get the correct answer.
John has to type a 2,000 word business research report, and he types at a rate of 40 words per minute. The function R(m)=(402000)−m . m is the minutes of typing.
The domain is (a) ≤ m ≤ (b)
A company sold a total of 150 adult and child tickets to a fundraiser. The company charged $10 for each adult ticket and $6 for each child ticket for $350.
Write an equation to represent the total amount of money.
A company sold a total of 150 adult and child tickets to a fundraiser. The company charged $10 for each adult ticket and $6 for each child ticket for $350.
Write an equation to represent the total amount of tickets.
A company sold a total of 200 adult and child tickets to a fundraiser. The company charged $2 for each adult ticket and $7 for each child ticket, for a total of $850.
Label each graph with the correct points.
A system of inequalities is given, where a and b are positive integers.
y<ax−b
y<−ax−b
For each one-year period after a car was purchased, its value at the end of the year was 65% less than its original $40,000 value.
This scenario is (a) .
For each one-year period after a car was purchased, its value at the end of the year was 65% less than its original $40,000 value.
Write an equation to for the value of the car overtime.
In this scenario 50% was depreciated from an original $10 item.
Graph the equation for the value of the item overtime.
A ball is hit from the ground. When the ball has traveled a horizontal distance of x meters, it can be modeled by the function;
h(x)=−41x2+2x
Graph the function using 2 points from Desmos.
A ball is hit from the ground. When the ball has traveled a horizontal distance of x meters, it can be modeled by the function;
h(x)=−41x2+2x
The ball traveled (a) meters before it hit the ground. The ball reached a (b) height of (c) meters.
แป้นคำตอบMCAP Practice Algebra 1
คำถามทั้งหมด: 30
5
S=35+20w
The initial amount
-10
,The slope
-35x
,Each week she adds
-$35
-.9
The equation has exactly two real solutions and at least one of the solutions is positive.
pencils
-.10x
,pens
-.75y
,Money Total
-$235
,$235=
-.10x+.75y
2−645−227
10x+6y=350
x+y=150
y=40000(1−.65)x