NJSLA Algebra II Creating Equations Practice

Creating Equations skills

A.CED.A.1-4 Equation and inequality creation and rearrangement

Standards basis

New Jersey Student Learning Standards for Mathematics (NJSLS-M), aligned to Common Core State Standards for Mathematics (CCSS-M) — New Jersey

How the NJSLA reports it

NJSLA math is built on the New Jersey Student Learning Standards for Mathematics, which closely follow the Common Core domain structure and progressions. The assessment is organized by grade-level and end-of-course reporting aligned to those standards rather than by a separate proprietary framework.

Blueprint & weighting

NJDOE publishes statewide assessment administration information and grade/course coverage, but no official public math-domain weighting blueprint was located in the retrieved primary materials.

Official sources

New Jersey Department of Education - Assessment
New Jersey Department of Education - 2023 NJSLS-Mathematics
NJDOE - Statewide Assessment Testing Schedule 2026-27

8 free questions · 0/0 correct

Practice playeasy

A shipping label allows a package weight $w$ , in pounds, that is more than $2$ pounds but at most $10$ pounds. Which inequality represents the possible values of $w$ ?

More than $2$ means $w > 2$ . At most $10$ means $w \le 10$ , so $2 < w \le 10$ .

Practice playeasy

A concert sells $s$ student tickets and $a$ adult tickets. There are $2$ times as many student tickets as adult tickets, and $27$ tickets are sold in all. Which system of equations represents this situation?

There are $2$ times as many student tickets as adult tickets, so $s = 2a\textsf{.}$ In all there are $27$ tickets, so $s + a = 27\textsf{.}$

Practice playeasy

A line with slope $3$ passes through $(1, 5)$ . What is $b$ in $y = 3x + b$ ?

Substitute the point: $5 = 3(1) + b$ , so $b = 5 - 3 = 2$ .

Practice playmedium

A line passes through the points $(2, -3)$ and $(6, 1)$ . Which equation represents this line in slope-intercept form?

The slope is $m = \dfrac{1 - (-3)}{6 - 2} = 1$ . Substitute $(2, -3)$ : $-3 = 1(2) + b$ , so $b = -5$ . The equation is $y = x - 5$ .

Practice playmedium

The maximum value of $c$ is $15$ more than $7$ times another number $n\textsf{.}$ Which inequality shows the possible values of $c\textsf{?}$

A maximum means $c$ can be at most that value, so use $\le\textsf{.}$ Seven times $n$ plus $15$ is $7n + 15\textsf{,}$ giving $c \le 7n + 15\textsf{.}$

Practice playmedium

Jordan earns $\text{\char36}32{,}500$ in her first year as a nurse. She gets the same dollar raise every year and earns $\text{\char36}36{,}400$ in her third year. What is the total of Jordan's earnings during her three years on the job?

Subtract the third-year salary from the first: $\text{\char36}36{,}400 - \text{\char36}32{,}500 = \text{\char36}3{,}900$ . Over three years there are two equal raises, so divide by $3 - 1 = 2$ to get $x = \text{\char36}1{,}950$ . Add $\text{\char36}1{,}950$ each year after the first: $\text{\char36}32{,}500$ , $\text{\char36}34{,}450$ , $\text{\char36}36{,}400$ . Sum all three years: $\text{\char36}103{,}350$ .

Practice playeasy

A garden store sells large planters for $L$ dollars each and small planters for $S$ dollars each. One customer bought $2$ large planters and $3$ small planters for $\text{\char36}54\textsf{.}$ Another customer bought $1$ large planter and $5$ small planters for $\text{\char36}55\textsf{.}$ What is the price of one small planter?

The system is $2L + 3S = 54$ and $L + 5S = 55\textsf{.}$ Double the second equation: $2L + 10S = 110\textsf{.}$ Subtract the first: $7S = 56\textsf{,}$ so $S = 8\textsf{.}$

Practice playeasy

Amira has $a$ stickers and Ben has $b$ stickers. Amira has $5$ times as many stickers as Ben, and together they have $90$ stickers. Which system of equations represents this situation?

Amira has $5$ times as many stickers as Ben, so $a = 5b$ . Together they have $90$ stickers, so $a + b = 90\textsf{.}$

NJSLA Algebra II Creating Equations. Practice it free.

Creating Equations skills

A.CED.A.1-4 Equation and inequality creation and rearrangement

Topics mapped to this domain

Compound inequality situations

Constraints and viable solutions (SAT)

Linear equation forms

Linear equation from two points (SAT)

Linear inequality situations (ACT/SAT/PSAT 8/9/10)

Linear raise total earnings

Linear system word problems (ACT/SAT)

Writing systems from context

Literal equations (SAT)

Literal quadratic equations (ACT)

Quadratic missing coefficient from roots (ACT)

Sum of consecutive integers (ACT)

8 free questions · 0/0 correct

Turn creating equations into game time.

More Algebra II domains