{{asɛmtiNe Ɔkyerɛwfo}} | Nhomakorabea | Nneɛma a ɛma wotumi yɛ ade

Akwankyerɛ

You have about 35–45 minutes to complete this diagnostic.

Show your thinking on paper as needed.
Try your best on every question.
If you finish early, check your work.

Your results will help your teacher plan instruction and support this year.

Ɛhia

1

Number System
Which value is closest to $\sqrt{50}$?

$5$

$8$

$10$

$7.1$

Ɛhia

1

Number System
What is the distance between $-2.5$ and $1.5$ on a number line?

$1$

$3$

$4$

$-4$

Ɛhia

1

Number System
Which list is ordered from least to greatest?
$-0.6$, $-\frac{1}{2}$, $0$, $0.25$

$-0.6,\ -\frac{1}{2},\ 0,\ 0.25$

$-0.6,\ 0,\ -\frac{1}{2},\ 0.25$

$-\frac{1}{2},\ -0.6,\ 0,\ 0.25$

$0.25,\ 0,\ -\frac{1}{2},\ -0.6$

Ɛhia

1

Number System
Evaluate: $-3(4) + 18 \div 3$

Ɛhia

1

Number System
Write $\frac{3}{8}$ as a decimal.

Ɛhia

1

Number System
Evaluate: $2^3 - 3^2$

Ɛhia

1

Number System
Match each number to its best description.

Draggable item		Corresponding Item
$\pi$		Rational
$\sqrt{2}$		Rational
$\frac{7}{11}$		Irrational
$0.125$		Irrational

Ɛhia

1

Algebraic Concepts
Solve for $x$: $3x - 5 = 19$

Ɛhia

1

Number System
What is the distance between $-7$ and $3$ on a number line?

$21$

$-10$

$10$

$4$

Ɛhia

1

Number System
Evaluate: $2^3 \cdot 2^2$

Ɛhia

1

Number System
Which value is closest to $\sqrt{50}$?

$9$

$5$

$7$

$12$

Ɛhia

1

Number System
Match each number to its type.

Draggable item		Corresponding Item
$0.125$		Rational
$\pi$		Rational
$\frac{5}{6}$		Irrational
$\sqrt{2}$		Irrational

Ɛhia

1

Algebraic Concepts
Solve for $x$: $3x - 5 = 19$

Ɛhia

1

Algebraic Concepts
Simplify: $4(2x - 3) + x$

$8x - 3$

$9x - 12$

$8x - 12$

$9x - 3$

Ɛhia

1

Algebraic Concepts
Which value is a solution to the inequality $2x + 1 > 9$?

$3$

$4$

$5$

$0$

Ɛhia

1

Algebraic Concepts
Match each phrase to an expression.

Draggable item		Corresponding Item
$7$ more than $x$		$5n$
$y$ decreased by $3$		$x + 7$
$t$ divided by $4$		$y - 3$
The product of $5$ and $n$		$\frac{t}{4}$

Ɛhia

1

Algebraic Concepts
A function has the rule $y = 2x - 1$. What is $y$ when $x = 4$?

$6$

$9$

$8$

$7$

Ɛhia

1

Algebraic Concepts
Evaluate $2a^2 - 3a$ when $a = -2$.

Ɛhia

1

Algebraic Concepts
Sort each expression into the correct category.

$3x + 2$
$7$
$x^2 + 1$
$-5y$
$2ab$
$\frac{1}{x}$

Linear
Not linear
Not sure

Ɛhia

1

Proportional Reasoning
Which table shows a proportional relationship between $x$ and $y$?

${(1,3),(2,7),(3,9)}$

${(1,4),(2,6),(3,8)}$

${(1,3),(2,6),(3,9)}$

${(2,5),(4,11),(6,16)}$

Ɛhia

1

Proportional Reasoning
A car travels $150$ miles in $3$ hours at a constant speed. What is the unit rate in miles per hour?

Ɛhia

1

Proportional Reasoning
A jacket that costs $$40$ is on sale for $25%$ off. What is the sale price?

$$10$

$$30$

$$35$

$$25$

Ɛhia

1

Proportional Reasoning
A map uses a scale of $1$ inch = $5$ miles. Two towns are $3.5$ inches apart on the map. How many miles apart are they?

Ɛhia

1

Proportional Reasoning
What is the slope of the line through the points $(-2,\ 1)$ and $(4,\ 13)$?

$2$

$\frac{1}{2}$

$\frac{12}{2}$

$-2$

Ɛhia

1

Proportional Reasoning
Select all situations that represent a proportional relationship.

The cost is $$2$ per pound of apples.

A taxi fare is $$5$ to start plus $$1$ per mile.

A phone plan charges $$20$ plus $$0.10$ per text.

A recipe uses $3$ cups of flour for every $2$ batches of cookies.

Ɛhia

1

Proportional Reasoning
Which table shows a proportional relationship between $x$ and $y$?

$\begin{array}{c|c}x&y\\hline 1&2\2&5\3&8\4&11\end{array}$

$\begin{array}{c|c}x&y\\hline 2&5\4&9\6&12\8&14\end{array}$

$\begin{array}{c|c}x&y\\hline 1&4\2&7\3&9\4&10\end{array}$

$\begin{array}{c|c}x&y\\hline 1&3\2&6\3&9\4&12\end{array}$

Ɛhia

1

Proportional Reasoning
A car travels $150$ miles in $3$ hours. What is the unit rate in miles per hour?

Ɛhia

1

Proportional Reasoning
A jacket costs $$40$ and is on sale for $25%$ off. What is the sale price?

$$10$

$$35$

$$30$

$$15$

Ɛhia

1

Proportional Reasoning
A map uses the scale $1$ inch : $8$ miles. Two towns are $3.5$ inches apart on the map. How many miles apart are they?

Ɛhia

1

Proportional Reasoning
What is the slope of the line through the points $(-2,\ 1)$ and $(4,\ 13)$?

$\frac{2}{3}$

$\frac{1}{2}$

$3$

$2$

Ɛhia

1

Proportional Reasoning
Select all situations that represent a proportional relationship.

You earn $12 per hour working.

A taxi charges a $5 start fee plus $2 per mile.

A recipe uses 2 cups of flour for every 3 cups of sugar.

The temperature rises 3 degrees, then stays the same.

8th Grade Diagnostic Test

8th Grade Diagnostic Test

Number SystemWhich value is closest to $\sqrt{50}$?

Number SystemWhat is the distance between $-2.5$ and $1.5$ on a number line?

Number SystemWhich list is ordered from least to greatest?$-0.6$, $-\frac{1}{2}$, $0$, $0.25$

Number SystemEvaluate: $-3(4) + 18 \div 3$

Number SystemWrite $\frac{3}{8}$ as a decimal.

Number SystemEvaluate: $2^3 - 3^2$

Number SystemMatch each number to its best description.

Algebraic ConceptsSolve for $x$: $3x - 5 = 19$

Number SystemWhat is the distance between $-7$ and $3$ on a number line?

Number SystemEvaluate: $2^3 \cdot 2^2$

Number SystemWhich value is closest to $\sqrt{50}$?

Number SystemMatch each number to its type.

Algebraic ConceptsSolve for $x$: $3x - 5 = 19$

Algebraic ConceptsSimplify: $4(2x - 3) + x$

Algebraic ConceptsWhich value is a solution to the inequality $2x + 1 > 9$?

Algebraic ConceptsMatch each phrase to an expression.

Algebraic ConceptsA function has the rule $y = 2x - 1$. What is $y$ when $x = 4$?

Algebraic ConceptsEvaluate $2a^2 - 3a$ when $a = -2$.

Algebraic ConceptsSort each expression into the correct category.

Proportional ReasoningWhich table shows a proportional relationship between $x$ and $y$?

Proportional ReasoningA car travels $150$ miles in $3$ hours at a constant speed. What is the unit rate in miles per hour?

Proportional ReasoningA jacket that costs $$40$ is on sale for $25%$ off. What is the sale price?

Proportional ReasoningA map uses a scale of $1$ inch = $5$ miles. Two towns are $3.5$ inches apart on the map. How many miles apart are they?

Proportional ReasoningWhat is the slope of the line through the points $(-2,\ 1)$ and $(4,\ 13)$?

Proportional ReasoningSelect all situations that represent a proportional relationship.

Proportional ReasoningWhich table shows a proportional relationship between $x$ and $y$?

Proportional ReasoningA car travels $150$ miles in $3$ hours. What is the unit rate in miles per hour?

Proportional ReasoningA jacket costs $$40$ and is on sale for $25%$ off. What is the sale price?

Proportional ReasoningA map uses the scale $1$ inch : $8$ miles. Two towns are $3.5$ inches apart on the map. How many miles apart are they?

Proportional ReasoningWhat is the slope of the line through the points $(-2,\ 1)$ and $(4,\ 13)$?

Proportional ReasoningSelect all situations that represent a proportional relationship.

Number SystemWhich value is closest to $\sqrt{50}$?

Number SystemWhat is the distance between $-2.5$ and $1.5$ on a number line?

Number SystemWhich list is ordered from least to greatest?$-0.6$, $-\frac{1}{2}$, $0$, $0.25$

Number SystemEvaluate: $-3(4) + 18 \div 3$

Number SystemWrite $\frac{3}{8}$ as a decimal.

Number SystemEvaluate: $2^3 - 3^2$

Number SystemMatch each number to its best description.

Algebraic ConceptsSolve for $x$: $3x - 5 = 19$

Number SystemWhat is the distance between $-7$ and $3$ on a number line?

Number SystemEvaluate: $2^3 \cdot 2^2$

Number SystemWhich value is closest to $\sqrt{50}$?

Number SystemMatch each number to its type.

Algebraic ConceptsSolve for $x$: $3x - 5 = 19$

Algebraic ConceptsSimplify: $4(2x - 3) + x$

Algebraic ConceptsWhich value is a solution to the inequality $2x + 1 > 9$?

Algebraic ConceptsMatch each phrase to an expression.

Algebraic ConceptsA function has the rule $y = 2x - 1$. What is $y$ when $x = 4$?

Algebraic ConceptsEvaluate $2a^2 - 3a$ when $a = -2$.

Algebraic ConceptsSort each expression into the correct category.

Proportional ReasoningWhich table shows a proportional relationship between $x$ and $y$?

Proportional ReasoningA car travels $150$ miles in $3$ hours at a constant speed. What is the unit rate in miles per hour?

Proportional ReasoningA jacket that costs $$40$ is on sale for $25%$ off. What is the sale price?

Proportional ReasoningA map uses a scale of $1$ inch = $5$ miles. Two towns are $3.5$ inches apart on the map. How many miles apart are they?

Proportional ReasoningWhat is the slope of the line through the points $(-2,\ 1)$ and $(4,\ 13)$?

Proportional ReasoningSelect all situations that represent a proportional relationship.

Proportional ReasoningWhich table shows a proportional relationship between $x$ and $y$?

Proportional ReasoningA car travels $150$ miles in $3$ hours. What is the unit rate in miles per hour?

Proportional ReasoningA jacket costs $$40$ and is on sale for $25%$ off. What is the sale price?

Proportional ReasoningA map uses the scale $1$ inch : $8$ miles. Two towns are $3.5$ inches apart on the map. How many miles apart are they?

Proportional ReasoningWhat is the slope of the line through the points $(-2,\ 1)$ and $(4,\ 13)$?

Proportional ReasoningSelect all situations that represent a proportional relationship.

Number System
Which value is closest to $\sqrt{50}$?

Number System
What is the distance between $-2.5$ and $1.5$ on a number line?

Number System
Which list is ordered from least to greatest?
$-0.6$, $-\frac{1}{2}$, $0$, $0.25$

Number System
Evaluate: $-3(4) + 18 \div 3$

Number System
Write $\frac{3}{8}$ as a decimal.

Number System
Evaluate: $2^3 - 3^2$

Number System
Match each number to its best description.

Algebraic Concepts
Solve for $x$: $3x - 5 = 19$

Number System
What is the distance between $-7$ and $3$ on a number line?

Number System
Evaluate: $2^3 \cdot 2^2$

Number System
Which value is closest to $\sqrt{50}$?

Number System
Match each number to its type.

Algebraic Concepts
Solve for $x$: $3x - 5 = 19$

Algebraic Concepts
Simplify: $4(2x - 3) + x$

Algebraic Concepts
Which value is a solution to the inequality $2x + 1 > 9$?

Algebraic Concepts
Match each phrase to an expression.

Algebraic Concepts
A function has the rule $y = 2x - 1$. What is $y$ when $x = 4$?

Algebraic Concepts
Evaluate $2a^2 - 3a$ when $a = -2$.

Algebraic Concepts
Sort each expression into the correct category.

Proportional Reasoning
Which table shows a proportional relationship between $x$ and $y$?

Proportional Reasoning
A car travels $150$ miles in $3$ hours at a constant speed. What is the unit rate in miles per hour?

Proportional Reasoning
A jacket that costs $$40$ is on sale for $25%$ off. What is the sale price?

Proportional Reasoning
A map uses a scale of $1$ inch = $5$ miles. Two towns are $3.5$ inches apart on the map. How many miles apart are they?

Proportional Reasoning
What is the slope of the line through the points $(-2,\ 1)$ and $(4,\ 13)$?

Proportional Reasoning
Select all situations that represent a proportional relationship.

Proportional Reasoning
Which table shows a proportional relationship between $x$ and $y$?

Proportional Reasoning
A car travels $150$ miles in $3$ hours. What is the unit rate in miles per hour?

Proportional Reasoning
A jacket costs $$40$ and is on sale for $25%$ off. What is the sale price?

Proportional Reasoning
A map uses the scale $1$ inch : $8$ miles. Two towns are $3.5$ inches apart on the map. How many miles apart are they?

Proportional Reasoning
What is the slope of the line through the points $(-2,\ 1)$ and $(4,\ 13)$?

Proportional Reasoning
Select all situations that represent a proportional relationship.

Number System
Which value is closest to $\sqrt{50}$?

Number System
What is the distance between $-2.5$ and $1.5$ on a number line?

Number System
Which list is ordered from least to greatest?
$-0.6$, $-\frac{1}{2}$, $0$, $0.25$

Number System
Evaluate: $-3(4) + 18 \div 3$

Number System
Write $\frac{3}{8}$ as a decimal.

Number System
Evaluate: $2^3 - 3^2$

Number System
Match each number to its best description.

Algebraic Concepts
Solve for $x$: $3x - 5 = 19$

Number System
What is the distance between $-7$ and $3$ on a number line?

Number System
Evaluate: $2^3 \cdot 2^2$

Number System
Which value is closest to $\sqrt{50}$?

Number System
Match each number to its type.

Algebraic Concepts
Solve for $x$: $3x - 5 = 19$

Algebraic Concepts
Simplify: $4(2x - 3) + x$

Algebraic Concepts
Which value is a solution to the inequality $2x + 1 > 9$?

Algebraic Concepts
Match each phrase to an expression.

Algebraic Concepts
A function has the rule $y = 2x - 1$. What is $y$ when $x = 4$?

Algebraic Concepts
Evaluate $2a^2 - 3a$ when $a = -2$.

Algebraic Concepts
Sort each expression into the correct category.

Proportional Reasoning
Which table shows a proportional relationship between $x$ and $y$?

Proportional Reasoning
A car travels $150$ miles in $3$ hours at a constant speed. What is the unit rate in miles per hour?

Proportional Reasoning
A jacket that costs $$40$ is on sale for $25%$ off. What is the sale price?

Proportional Reasoning
A map uses a scale of $1$ inch = $5$ miles. Two towns are $3.5$ inches apart on the map. How many miles apart are they?

Proportional Reasoning
What is the slope of the line through the points $(-2,\ 1)$ and $(4,\ 13)$?

Proportional Reasoning
Select all situations that represent a proportional relationship.

Proportional Reasoning
Which table shows a proportional relationship between $x$ and $y$?

Proportional Reasoning
A car travels $150$ miles in $3$ hours. What is the unit rate in miles per hour?

Proportional Reasoning
A jacket costs $$40$ and is on sale for $25%$ off. What is the sale price?

Proportional Reasoning
A map uses the scale $1$ inch : $8$ miles. Two towns are $3.5$ inches apart on the map. How many miles apart are they?

Proportional Reasoning
What is the slope of the line through the points $(-2,\ 1)$ and $(4,\ 13)$?

Proportional Reasoning
Select all situations that represent a proportional relationship.