Term 1 Focused Informal Practice Questions

Last updated 8 months ago

130 Nsɛmmisa

Akwankyerɛ

The Exam is not limited to the Focused IPQs questions, so please revise this and then go back and review the desmos questions

1.1 Writing and Interpreting Equations

1.2 Solving Equations with the variables on both sides

1.3 Solving Equations Involving Absolute Value

1.4 Solving Proportions

A.CED.1

A.REI.3

1.5 Using Formulas

2.1 Graphing Linear Functions

2.2 Rates of Change and Slopes

2.3 Slope-Intercept Form

2.4 Transformation of Linear Functions

2.5 Arithmetic Sequence

2.6 Piecewise and Step Functions

2.7 Absolute Value Functions

3.1 Writing Equations in Slope-Intercept Form

3.2 Writing Equations in Standard and Point-Slope Form

3.3 Scatter Plot and Lines of Fit

3.4 Correlation and Causation

3.6 Inverses of Linear Functions

4.2 Solving Compound Inequalities

4.3 Solving Absolute Value Inequalities

Term 1 Focused Informal Practice Questions

Last updated 8 months ago

130 Nsɛmmisa

Akwankyerɛ

The Exam is not limited to the Focused IPQs questions, so please revise this and then go back and review the desmos questions

1.1 Writing and Interpreting Equations

Which equation represents this sentence?
Four times the sum of a number x and a number y is equal to 25.

$4xy = 25$

$4x + y = 25$

$4(x + y) = 25$

$4 + x + y = 25$

Match each equation to its verbal description.

The product of three and the sum of x and y is equal to six. _____
The product of three times x and y is equal to six. _____
The sum of three times x and y is equal to six. _____
The sum of three and the product of x and y is equal to six. _____

Mmuae Afoforo a Wobɛpaw:

Write an equation to represent this sentence.
The difference of twice x and four times the quantity x plus y is equal to ten.

Write an equation for the below sentence.
Three added to four times a number n is the same as 19.

$3 + 4n = 19$

$(3 + 4) n = 19$

$4 + 3n = 19$

$(3 + 4) n = 19n$

Write a sentence for the equation: $2 + 3n = 5n$

Write a sentence for the below equation.
$7(3 + 5n) = an$

Write a sentence for the equation: $2(x + 1) = 10$

The quantity two x plus one is equal to ten.

Two times the sum of x and one equals ten.

The quantity two times x plus one is the same as ten.

The sum of 2x and 1 is 10.

1.2 Solving Equations with the variables on both sides

Solve the equation:

Solve each equation:

Solve $4(x+9)=6x-4$.

$3.2$

$6.5$

$16$

$20$

Solve
, for

No Solution

Solve

Identify the term that best describes each equation

$3(t+2)=2+3t+4$
$7x+5=7(x+5)$
$10-m=m-10$

One Solution
No Solution
Infinitely Many Solutions

Which of the following linear equations has no solution?

$x+3=-x-3$

$x+3=x-3$

$x+3=x+3$

$x+3=-x-6$

Which of the following linear equations has infinitely many solutions?

$x+3=-x-3$

$x+3=x-3$

$x+3=x+3$

$x+3=-x-6$

Solve the equation for

1.3 Solving Equations Involving Absolute Value

Solve
, for

No Solution

Solve the equation:
.

Solve
. Select all that apply.

Which of the following, if any, is/are the solution(s) for the equation
?

Only

No Solution

Solve the equation
. Show you checked your solutions.

1.4 Solving Proportions

Solve the equation for

Which of the below is the solution to
?

$-1$

$9$

$-11$

$1$

Which of the below is the solution to
?

$-4$

$1$

$4$

$-1$

Solve

A.CED.1

A.REI.3

1.5 Using Formulas

Solve the equation
for $x$.

Solve
, for $w$.

The base of a triangle, $b$, is $5$. The area of the triangle is $25$.
Find the height of the triangle, $h$.
(Hint: Area of a triangle is
)

The area of a trapezoid is given by the formula

, where $h$ is the height and $a$ and $b$ are the measures of the two bases.

null

What is the height of a trapezoid with an area of $12$ square inches if the two bases measure $4$ inches and $6$ inches?

inches

The chart shows common household conversions:
Choose the correct unit so that the value is equivalent to $5$ pints. $80$ ____?

gallons

ounces

cups

quarts

If $1$ foot ≈ $0.305$ meter, approximately how many feet are in $8$ meters?

$2.44$

$2.62$

$24.4$

$26.2$

2.1 Graphing Linear Functions

Which relation is a function?

null

Which relation is NOT a function?

null

What is the range of the relation below?

{2, 4, 2, 0}

{2, 3, 5, 8}

{14, 4, -2, 6, 0}

{3, -2, 5, 6, 8, 14}

Identify the domain of the relation.

Identify the range of the relation.

Is the relation a function? Explain

Complete the table for the function

$x$	$f(x)$
$-6$	$-1$
$-3$
	$3$
$3$
$6$

Graph
using the $x-$ and $y-$intercept.

Akwankyerɛ

Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.

Sultan has $$24$ to spend on peanuts and pretzels for a party. Peanuts cost $$3$ per pound and pretzels cost $$2$ per pound.

What an equation that relates the number of pounds of pretzels $y$ and the number of pounds of peanuts $x$.

$2x+3y=24$

$3x+2y=24$

$24x-3=2y$

$24y-3=2x$

2.2 Rates of Change and Slopes

The slope of a line that passes through $(-3, 2)$ and $(-3, 4)$ is undefined.

Nokorɛ

Ɛnyɛ ampa

Which pair(s) of points form a line with a negative slope? Select all that apply.

The slope of a horizontal line is while the slope of a vertical line is

Given a line that passes through the points$(3,4)$ and $(-5,0)$.
Find the slope of the line.

Find the value of $x$ so that the line passing through the$(x,-7)$and $(1,2)$ has the given slope $m=3$.

Find the value of $y$ so that the line passing through the $(9,y)$ and$(3,2)$ has the given slope

2.3 Slope-Intercept Form

What is the equation, in slope-intercept for of the linear function $a$ graphed ?

Refer to the line graphed, and find the slope.

Refer to the line graphed, and find the y-intercept.

Refer to the line graphed, and find the equation of the line.

2.4 Transformation of Linear Functions

Match the linear function with the correct description of how its graph differs from the parent graph.

Draggable item		Corresponding Item
		reflected across x-axis and stretched vertically
		reflected across y-axis and compressed horizontally

Match the linear function with the correct description of how its graph differs from the parent graph.

Draggable item		Corresponding Item
$h(x)=(x+5)+5$		The graph of the parent function stretched vertically and reflected across the x-axis.
$k(x)=(x-5)$		The graph of the parent function compressed horizontally and reflected across the y-axis.
$g(x)=(-5x)$		The graph of the parent function translated 5 units left and 5 units up.
$f(x)=-5(x)$		The graph of the parent function translated 5 units right.

Determine the type of transformation in each function as it relates to the parent function.

$g(x)=3x$
$g(x)=-(x)$
$g(x)=x-3$
$g(x)=4(x)$
$g(x)=(x)-2$

Translation
Dilation
Reflection

Describe the transformation in $g(x)=-4(x)$ as it relates to the parent function $f(x)=x$.

Select all the transformations in $h(x)=-(3x-5)+2$ as it relates to the parent function.

Describe the transformation in $h(x)=-(x+3)-1$ as it relates to the parent function.

2.5 Arithmetic Sequence

Determine whether each sequence is an arithmetic sequence.

$1.5, 3, 4.5, 6, ...$
$3, 6, 9,12,..$
$13, 7, 1, -5, ...$
$8, 10, 14, 20, ...$
$-2, -8, -32, -128, ...$

Arithmetic Sequence
Not an Arithmetic Sequence