Practice Test 4 - Pre Algebra

20 questions. Answer them in any order, then submit to see your score and every explanation.

The equation $0.5x + 1.2 = 0.3x - 0.6$ can be solved by first converting to integers. After multiplying by an appropriate power of 10, what equation results?
Which expression is equivalent to $\frac{6^4 \cdot 6^7}{6^3 \cdot 6^2} \cdot \frac{6^5}{6^8}$ ? Write your answer as a single power.
Lisa is explaining why the expression $3(x + 4)$ equals $3x + 12$ . She uses a rectangular model where she draws a rectangle divided into two parts. Which description best explains how her diagram supports the distributive property?
If $2x - 7 > 1$ and $5x + 3 \leq 23$ , what is the solution set for $x$ ?
The temperature in Fairbanks changed by $-15°F$ in the morning and $+8°F$ in the afternoon. If the absolute value of the total temperature change equals the absolute value of a second city's temperature change, and the two cities' changes are opposites, what was the second city's temperature change?
At a school fundraiser, 40% of the money raised came from ticket sales, and the rest came from donations. If donations totaled $1,800, what was 15% of the total money raised?
A linear function is graphed such that it has an x-intercept of $(-4, 0)$ and a y-intercept of $(0, 6)$ . What is the value of the function when $x = 2$ ?
Two parallel lines are intersected by a transversal. One pair of corresponding angles has measures $(5a + 10)°$ and $(7a - 30)°$ . A pair of alternate exterior angles formed by the same transversal has measures $(3b + 20)°$ and $(b + 60)°$ . What is the value of $a + b$ ?
For what value of $k$ does the equation $\frac{2x - k}{5} = 4$ have solution $x = 9$ ?
Marcus calculated that a rectangular garden with dimensions 18.7 feet by 24.3 feet has an area of 454.41 square feet. To check if this answer is reasonable, which estimation method would be most effective?
Given $f(x) = 2x^2 - x + 3$ , which expression represents $f(x+1) - f(x)$ ?
A recipe calls for $2\frac{3}{4}$ cups of flour, but Sarah only has $1\frac{5}{8}$ cups. Later, she borrows $\frac{7}{8}$ cups from a neighbor and buys $1\frac{1}{2}$ more cups at the store. After making the recipe, how much flour does she have left?
A circle is scaled down by a factor of 0.4. If the original circle had an area of 100π square meters, what is the ratio of the new perimeter to the original perimeter?
In chemistry lab, you need to prepare a solution by mixing $3.75 \times 10^{-3}$ moles of compound A with $8.2 \times 10^{-4}$ moles of compound B. What is the total number of moles in the mixture, expressed in scientific notation?
Two similar triangles have a ratio of corresponding sides of 5:3. If the area of the larger triangle is 100 square units, what is the area of the smaller triangle?
Consider the pattern in these calculations: $11^2 = 121$ , $111^2 = 12321$ , $1111^2 = 1234321$ . Based on this structural pattern, what would be the units digit of $11111111^2$ (eight ones squared)?
A proportional relationship is graphed on a coordinate plane. If the point $(6, 15)$ lies on this graph, which of the following points must also lie on the graph, and why?
A student rewrites $4(2x - 3) + 6(x + 1)$ as $8x - 12 + 6x + 6$ , then combines like terms to get $14x - 6$ . However, another student gets $14x + 18$ for the same original expression. Which statement best explains this discrepancy?
Two students solved the same one-step equation but got different answers. Student A got $x = -8$ and Student B got $x = 8$ . If both students used correct algebraic procedures, which type of equation were they most likely solving?
A phone company charges a monthly base fee of $25 plus $0.10 per minute for calls over 500 minutes. Sarah's bill last month was $37.50. If she used exactly 625 minutes, what equation could be used to verify this billing scenario?

Practice tests